EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 26 3 (1992) 447-467 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

The Lotka-Volterra models with nonlocal cross-diffusivity terms

M.A.V. Costa, C. Morales-Rodrigo and A. Suárez
Journal of Mathematical Analysis and Applications 547 (1) 129316 (2025)
https://doi.org/10.1016/j.jmaa.2025.129316

Ground state solutions for weighted biharmonic Kirchhoff problem via the Nehari manifold approach

Brahim Dridi, Rached Jaidane and Oussama Dammak
Applicable Analysis 104 (2) 169 (2025)
https://doi.org/10.1080/00036811.2024.2356660

Positive solutions, positive radial solutions and uniqueness results for some nonlocal elliptic problems

Chahinez Bellamouchi and Elmehdi Zaouche
Journal of Elliptic and Parabolic Equations 10 (1) 279 (2024)
https://doi.org/10.1007/s41808-023-00261-5

A study of the nonlocal solution of p-Laplacian fractional elliptic problems via approximation methods

Omar Djidel, Kheireddine Biroud, Med-Salem Rezaoui, Salah Boulaaras and Rafik Guefaifia
Boundary Value Problems 2024 (1) (2024)
https://doi.org/10.1186/s13661-024-01981-w

Multiplicity of nontrivial solutions for p‐Kirchhoff type equation with Neumann boundary conditions

Weihua Wang
Mathematical Methods in the Applied Sciences 47 (1) 110 (2024)
https://doi.org/10.1002/mma.9643

Existence of solutions for Kirchhoff-double phase anisotropic variational problems with variable exponents

Wei Ma and Qiongfen Zhang
AIMS Mathematics 9 (9) 23384 (2024)
https://doi.org/10.3934/math.20241137

Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem

O. V. Glazyrina, R. Z. Dautov and D. A. Gubaidullina
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika (2) 3 (2024)
https://doi.org/10.26907/0021-3446-2024-2-3-21

Analysis of solutions for a class of $$(p_1(x),\ldots ,p_n(x))$$-Laplacian systems with Hardy potentials

Khaled Kefi, Mohamed Karim Hamdani and Jian Liu
Journal of Elliptic and Parabolic Equations 10 (2) 1123 (2024)
https://doi.org/10.1007/s41808-024-00293-5

Random dynamics for a stochastic nonlocal reaction-diffusion equation with an energy functional

Ruonan Liu and Tomás Caraballo
AIMS Mathematics 9 (4) 8020 (2024)
https://doi.org/10.3934/math.2024390

Pairs of Positive Solutions for a Carrier p(x)-Laplacian Type Equation

Pasquale Candito, Giuseppe Failla and Roberto Livrea
Mathematics 12 (16) 2441 (2024)
https://doi.org/10.3390/math12162441

Existence of positive solutions for a p-Schrödinger–Kirchhoff integro-differential equation with critical growth

Juan Mayorga-Zambrano and Henry Cumbal-López
Partial Differential Equations and Applications 5 (3) (2024)
https://doi.org/10.1007/s42985-024-00279-x

Multiplicity of Solutions for a Class of Kirchhoff–Poisson Type Problem

Ziqi Deng, Xilin Dou and Douglas R. Anderson
Abstract and Applied Analysis 2024 (1) (2024)
https://doi.org/10.1155/2024/7034904

Accuracy of an Implicit Scheme for the Finite Element Method with a Penalty for a Nonlocal Parabolic Obstacle Problem

O. V. Glazyrina, R. Z. Dautov and D. A. Gubaidullina
Russian Mathematics 68 (2) 1 (2024)
https://doi.org/10.3103/S1066369X24700075

Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition

Serik Aitzhanov, Bakytbek Koshanov and Aray Kuntuarova
Mathematics 12 (24) 4010 (2024)
https://doi.org/10.3390/math12244010

Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator

Zakaria El Allali, Mohamed Karim Hamdani and Said Taarabti
Journal of Elliptic and Parabolic Equations 10 (1) 195 (2024)
https://doi.org/10.1007/s41808-023-00257-1

Convergence and Asymptotic Stability of the BDF Schemes for the Nonlocal Partial Differential Equations with Delay

Shuxun Shi and Wenbin Chen
Journal of Scientific Computing 95 (3) (2023)
https://doi.org/10.1007/s10915-023-02214-5

Non Local Weighted Fourth Order Equation in Dimension $4$ with Non-linear Exponential Growth

Rached Jaidane and Abir Amor Ben Ali
Taiwanese Journal of Mathematics 27 (3) (2023)
https://doi.org/10.11650/tjm/230202

Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities

P. P. de Carvalho, R. Demarque, J. Límaco and L. Viana
Nonlinear Differential Equations and Applications NoDEA 30 (3) (2023)
https://doi.org/10.1007/s00030-022-00831-x

Nonlocal Kirchhoff-type problem involving variable exponent and logarithmic nonlinearity on compact Riemannian manifolds

Hind Bouaam, Mohamed El Ouaarabi and Chakir Allalou
Analysis and Mathematical Physics 13 (3) (2023)
https://doi.org/10.1007/s13324-023-00810-0

Long-Term Behavior of Heat Conduction Equation Solutions with Time-Dependent Memory and Non-Local Diffusion

晶朋 黄
Advances in Applied Mathematics 12 (12) 5267 (2023)
https://doi.org/10.12677/AAM.2023.1212517

p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection

Soukaina Yacini, Mohamed El Ouaarabi, Chakir Allalou and Khalid Hilal
Nonautonomous Dynamical Systems 10 (1) (2023)
https://doi.org/10.1515/msds-2023-0105

Weighted Schrödinger-Kirchhoff type problem in dimension 2 with non-linear double exponential growth

Sami Baraket and Rached Jaidane
Filomat 37 (16) 5373 (2023)
https://doi.org/10.2298/FIL2316373B

A non-trivial solution for a p-Schrödinger–Kirchhoff-type integro-differential system by non-smooth techniques

Juan Mayorga-Zambrano and Daniel Narváez-Vaca
Annals of Functional Analysis 14 (4) (2023)
https://doi.org/10.1007/s43034-023-00299-5

Schrödinger–Kirchhof-type problems involving the fractional p-Laplacian with exponential growth

Zhang Binlin, Xiumei Han and Nguyen Van Thin
Applicable Analysis 102 (7) 1942 (2023)
https://doi.org/10.1080/00036811.2021.2011244

Implicit Finite Element Scheme with a Penalty for a Nonlocal Parabolic Obstacle Problem of Kirchhoff Type

O. V. Glazyrina, R. Z. Dautov and E. Y. Myagkova
Lobachevskii Journal of Mathematics 44 (7) 2675 (2023)
https://doi.org/10.1134/S199508022307017X

Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise

Jiaohui Xu and Tomás Caraballo
Analysis and Applications 21 (03) 597 (2023)
https://doi.org/10.1142/S0219530522500075

Existence of solution for a class of nonlocal problem via dynamical methods

Claudianor O. Alves and Tahir Boudjeriou
Rendiconti del Circolo Matematico di Palermo Series 2 71 (2) 611 (2022)
https://doi.org/10.1007/s12215-021-00644-4

Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise

Lingyu Li, Zhang Chen and Tomás Caraballo
Discrete and Continuous Dynamical Systems - S (2022)
https://doi.org/10.3934/dcdss.2022179

Remarks on a class of integro-differential problems

Claudianor O. Alves, Francisco Julio S.A. Corrêa and João R. Santos
Journal of Mathematical Analysis and Applications 506 (2) 125723 (2022)
https://doi.org/10.1016/j.jmaa.2021.125723

A variational approach for Kirchhoff-Carrier type non-local equation boundary value problems

Xian Xu and Baoxia Qin
Journal of Mathematical Analysis and Applications 508 (2) 125885 (2022)
https://doi.org/10.1016/j.jmaa.2021.125885

Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion

Jiaohui Xu, Tomás Caraballo and José Valero
Journal of Differential Equations 327 418 (2022)
https://doi.org/10.1016/j.jde.2022.04.033

Existence of weak solutions for some local and nonlocal p-Laplacian problem

Chakir Allalou, Khalid Hilal and Said Ait Temghart
Journal of Elliptic and Parabolic Equations 8 (1) 151 (2022)
https://doi.org/10.1007/s41808-021-00143-8

Asymptotic behavior of nonlocal partial differential equations with long time memory

Jiaohui Xu, Tomás Caraballo and José Valero
Discrete and Continuous Dynamical Systems - S 15 (10) 3059 (2022)
https://doi.org/10.3934/dcdss.2021140

Existence and Characterization of Attractors for a Nonlocal Reaction–Diffusion Equation with an Energy Functional

R. Caballero, P. Marín-Rubio and José Valero
Journal of Dynamics and Differential Equations 34 (1) 443 (2022)
https://doi.org/10.1007/s10884-020-09933-5

A two-dimensional stochastic fractional non-local diffusion lattice model with delays

Yejuan Wang, Yu Wang, Xiaoying Han and Peter E. Kloeden
Stochastics and Dynamics 22 (08) (2022)
https://doi.org/10.1142/S0219493722400329

Weak solution to p(x)-Kirchoff type problems under no-flux boundary condition by topological degree

Soukaina Yacini, Chakir Allalou and Khalid Hilal
Boletim da Sociedade Paranaense de Matemática 41 1 (2022)
https://doi.org/10.5269/bspm.63341

On a class of nonlocal parabolic equations of Kirchhoff type: Nonexistence of global solutions and blow‐up

Uğur Sert and Sergey Shmarev
Mathematical Methods in the Applied Sciences 45 (14) 8674 (2022)
https://doi.org/10.1002/mma.7525

Weigthed elliptic equation of Kirchhoff type with exponential non linear growthWeigthed elliptic equation of Kirchhoff type with exponential non linear growth

Rached Jaidane
Annals of the University of Craiova - Mathematics and Computer Science Series 49 (2) 309 (2022)
https://doi.org/10.52846/ami.v49i2.1572

Bifurcation results for a non-local elliptic equation with a nonlinear boundary condition

Xian Xu and Baoxia Qin
Journal of Mathematical Analysis and Applications 516 (1) 126506 (2022)
https://doi.org/10.1016/j.jmaa.2022.126506

Multiplicity of solutions to class of nonlocal elliptic problems with critical exponents

Elard Juárez Hurtado, Olimpio H. Miyagaki and Rodrigo S. Rodrigues
Mathematical Methods in the Applied Sciences 45 (7) 3949 (2022)
https://doi.org/10.1002/mma.8025

Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian

Pasquale Candito, Leszek Gasiński, Roberto Livrea and João R. Santos Júnior
Advances in Nonlinear Analysis 11 (1) 357 (2021)
https://doi.org/10.1515/anona-2021-0200

On solutions for a class of Kirchhoff systems involving critical growth in R2

J.C. de Albuquerque, J.M. do Ó, E.O. dos Santos and U.B. Severo
Asymptotic Analysis 122 (1-2) 69 (2021)
https://doi.org/10.3233/ASY-201610

About the Structure of Attractors for a Nonlocal Chafee-Infante Problem

Rubén Caballero, Alexandre N. Carvalho, Pedro Marín-Rubio and José Valero
Mathematics 9 (4) 353 (2021)
https://doi.org/10.3390/math9040353

Non-autonomous nonlocal partial differential equations with delay and memory

Jiaohui Xu, Zhengce Zhang and Tomás Caraballo
Journal of Differential Equations 270 505 (2021)
https://doi.org/10.1016/j.jde.2020.07.037

On Critical Schrödinger–Kirchhoff-Type Problems Involving the Fractional p-Laplacian with Potential Vanishing at Infinity

Nguyen Van Thin, Mingqi Xiang and Binlin Zhang
Mediterranean Journal of Mathematics 18 (1) (2021)
https://doi.org/10.1007/s00009-020-01619-y

Parabolic Kirchhoff equations with non-homogeneous flux boundary conditions: well-posedness, regularity and asymptotic behavior

Tito L Mamani Luna and Gustavo Ferron Madeira
Nonlinearity 34 (8) 5844 (2021)
https://doi.org/10.1088/1361-6544/ac0f52

Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem

Alexandre N. Carvalho and Estefani M. Moreira
Journal of Differential Equations 300 312 (2021)
https://doi.org/10.1016/j.jde.2021.07.044

Infinitely many solutions for a new class of Schrödinger–Kirchhoff type equations in $$\mathbb R^N$$ involving the fractional p-Laplacian

Mohamed Karim Hamdani, Nguyen Thanh Chung and Masoud Bayrami-Aminlouee
Journal of Elliptic and Parabolic Equations 7 (1) 243 (2021)
https://doi.org/10.1007/s41808-020-00093-7

On a degenerate nonlocal parabolic equation with variable source

Uğur Sert and Sergey Shmarev
Journal of Mathematical Analysis and Applications 484 (1) 123695 (2020)
https://doi.org/10.1016/j.jmaa.2019.123695

Multiple Solutions for a Class of New p(x)-Kirchhoff Problem without the Ambrosetti-Rabinowitz Conditions

Bei-Lei Zhang, Bin Ge and Xiao-Feng Cao
Mathematics 8 (11) 2068 (2020)
https://doi.org/10.3390/math8112068

Existence of multiple solutions of Schrödinger‐Kirchhoff‐type equations involving the p(.) ‐Laplacian in ℝN

Rabil Ayazoglu (Mashiyev), Sezgin Akbulut and Ebubekir Akkoyunlu
Mathematical Methods in the Applied Sciences 43 (17) 9598 (2020)
https://doi.org/10.1002/mma.6626

Nonexistence and multiplicity of positive solutions for an equation with degenerate nonlocal diffusion

Leszek Gasiński and João R. Santos
Bulletin of the London Mathematical Society 52 (3) 489 (2020)
https://doi.org/10.1112/blms.12342

On existence solution for Schrödinger–Kirchhoff-type equations involving the fractional p-Laplacian in ℝN

Nguyen Van Thin and Pham Thi Thuy
Complex Variables and Elliptic Equations 64 (3) 461 (2019)
https://doi.org/10.1080/17476933.2018.1447932

On a generalized Timoshenko-Kirchhoff equation with sublinear nonlinearities

J.R. Santos and G. Siciliano
Journal of Mathematical Analysis and Applications 480 (2) 123394 (2019)
https://doi.org/10.1016/j.jmaa.2019.123394

Multiplicity of positive solutions for an equation with degenerate nonlocal diffusion

Leszek Gasiński and João R. Santos Júnior
Computers & Mathematics with Applications 78 (1) 136 (2019)
https://doi.org/10.1016/j.camwa.2019.02.029

Concentrated solution for some non-local and non-variational singularly perturbed problems

Zhengmao Chen and Qiuyi Dai
Calculus of Variations and Partial Differential Equations 58 (5) (2019)
https://doi.org/10.1007/s00526-019-1626-9

Multiplicity result for non-homogeneous fractional Schrodinger--Kirchhoff-type equations in ℝ n

César E. Torres Ledesma
Advances in Nonlinear Analysis 7 (3) 247 (2018)
https://doi.org/10.1515/anona-2015-0096

A Sub-Supersolution Method for a Class of Nonlocal Problems Involving the p ( x ) $p(x)$ -Laplacian Operator and Applications

Gelson C. G. dos Santos, Giovany M. Figueiredo and Leandro S. Tavares
Acta Applicandae Mathematicae 153 (1) 171 (2018)
https://doi.org/10.1007/s10440-017-0126-1

Ground state sign-changing solutions for the Schrödinger–Kirchhoff equation in R3

Li Wang, Binlin Zhang and Kun Cheng
Journal of Mathematical Analysis and Applications 466 (2) 1545 (2018)
https://doi.org/10.1016/j.jmaa.2018.06.071

Asymptotic behaviour of nonlocal p-Laplacian reaction–diffusion problems

Tomás Caraballo, Marta Herrera-Cobos and Pedro Marín-Rubio
Journal of Mathematical Analysis and Applications 459 (2) 997 (2018)
https://doi.org/10.1016/j.jmaa.2017.11.013

Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms

Jorge Ferreira and Hermenegildo Borges de Oliveira
Discrete & Continuous Dynamical Systems - A 37 (5) 2431 (2017)
https://doi.org/10.3934/dcds.2017105

An optimal control problem for a Kirchhoff-type equation

M. Delgado, G. M. Figueiredo, I. Gayte and C. Morales-Rodrigo
ESAIM: Control, Optimisation and Calculus of Variations 23 (3) 773 (2017)
https://doi.org/10.1051/cocv/2016013

An iterative method for non-autonomous nonlocal reaction-diffusion equations

Tomás Caraballo, Marta Herrera-Cobos and Pedro Marín-Rubio
Applied Mathematics and Nonlinear Sciences 2 (1) 73 (2017)
https://doi.org/10.21042/AMNS.2017.1.00006

A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type

Asha K. Dond and Amiya K. Pani
Computational Methods in Applied Mathematics 17 (2) 217 (2017)
https://doi.org/10.1515/cmam-2016-0041

Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution

Tomás Caraballo, Marta Herrera-Cobos and Pedro Marín-Rubio
Discrete & Continuous Dynamical Systems - B 22 (5) 1801 (2017)
https://doi.org/10.3934/dcdsb.2017107

Existence and Asymptotic Behaviour for a Kirchhoff Type Equation With Variable Critical Growth Exponent

Elard Juárez Hurtado, Olímpio Hiroshi Miyagaki and Rodrigo da Silva Rodrigues
Milan Journal of Mathematics 85 (1) 71 (2017)
https://doi.org/10.1007/s00032-017-0266-9

Chipot’s method for a one-dimensional Kirchhoff static equation

N. Kachakhidze, N. Khomeriki, J. Peradze and Z. Tsiklauri
Numerical Algorithms 73 (4) 1091 (2016)
https://doi.org/10.1007/s11075-016-0131-x

Positive Solutions for a Class of Nonlocal Problems Involving Lebesgue Generalized Spaces: Scalar and System Cases

Gelson C. G. Dos Santos and Giovany M. Figueiredo
Journal of Elliptic and Parabolic Equations 2 (1-2) 235 (2016)
https://doi.org/10.1007/BF03377404

Existence of multiple nontrivial solutions for a $p$-Kirchhoff type elliptic problem involving sign-changing weight functions

Kaijun Zhang, Ming Mei and Yuanxiao Li
Discrete and Continuous Dynamical Systems - Series B 21 (3) 883 (2016)
https://doi.org/10.3934/dcdsb.2016.21.883

A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions

Rui M. P. Almeida, Stanislav N. Antontsev, José C. M. Duque and Jorge Ferreira
IMA Journal of Applied Mathematics 81 (2) 344 (2016)
https://doi.org/10.1093/imamat/hxv041

Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type

Zhi-tao Zhang and Yi-min Sun
Acta Mathematicae Applicatae Sinica, English Series 32 (1) 35 (2016)
https://doi.org/10.1007/s10255-016-0545-1

Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities

Mingqi Xiang, Binlin Zhang and Massimiliano Ferrara
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 (2177) 20150034 (2015)
https://doi.org/10.1098/rspa.2015.0034

Existence of solution for a class of nonlocal elliptic problem via sub–supersolution method

Claudianor O. Alves and Dragoş-Pătru Covei
Nonlinear Analysis: Real World Applications 23 1 (2015)
https://doi.org/10.1016/j.nonrwa.2014.11.003

On finding solutions of a Kirchhoff type problem

Yisheng Huang, Zeng Liu and Yuanze Wu
Proceedings of the American Mathematical Society 144 (7) 3019 (2015)
https://doi.org/10.1090/proc/12946

From Particle Systems to Partial Differential Equations

E. A. Coayla-Teran, J. Ferreira, P. M. D. de Magalhães and H. B. de Oliveira
Springer Proceedings in Mathematics & Statistics, From Particle Systems to Partial Differential Equations 75 301 (2014)
https://doi.org/10.1007/978-3-642-54271-8_15

Variational, Topological, and Partial Order Methods with Their Applications

Zhitao Zhang
Developments in Mathematics, Variational, Topological, and Partial Order Methods with Their Applications 29 271 (2013)
https://doi.org/10.1007/978-3-642-30709-6_10

Existence and multiplicity of positive solutions for a class of p ( x )-Kirchhoff type equations

Ruyun Ma, Guowei Dai and Chenghua Gao
Boundary Value Problems 2012 (1) (2012)
https://doi.org/10.1186/1687-2770-2012-16

Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions

Erlin Guo and Peihao Zhao
Boundary Value Problems 2012 (1) (2012)
https://doi.org/10.1186/1687-2770-2012-1

A note about positive solutions for an equation of Kirchhoff type

André L.M. Martinez, Emerson V. Castelani, Jair da Silva and Wesley V.I. Shirabayashi
Applied Mathematics and Computation 218 (5) 2082 (2011)
https://doi.org/10.1016/j.amc.2011.07.025

A Variational Approach to a Nonlocal Elliptic Problem with Sign-Changing Nonlinearity

Francisco Julio S.A. Corrêa, Manuel Delgado and Antonio Suárez
Advanced Nonlinear Studies 11 (2) 361 (2011)
https://doi.org/10.1515/ans-2011-0207

Multiplicity of solutions for a class of Kirchhoff type problems

Xiao-ming He and Wen-ming Zou
Acta Mathematicae Applicatae Sinica, English Series 26 (3) 387 (2010)
https://doi.org/10.1007/s10255-010-0005-2

A variational approach for a nonlocal and nonvariational elliptic problem

Francisco Julio S.A Corrêa and Giovany M. Figueiredo
Journal of Integral Equations and Applications 22 (4) (2010)
https://doi.org/10.1216/JIE-2010-22-4-549

Infinitely many positive solutions for Kirchhoff-type problems

Xiaoming He and Wenming Zou
Nonlinear Analysis: Theory, Methods & Applications 70 (3) 1407 (2009)
https://doi.org/10.1016/j.na.2008.02.021