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## Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

ESAIM: M2AN, 37 1 (2003) 175-186
Published online: 2003-03-15

## A splitting algorithm for a novel regularization of Perona-Malik and application to image restoration

EURASIP Journal on Advances in Signal Processing 2017 (1) (2017)
DOI: 10.1186/s13634-017-0484-x

## Positive Solutions for a System of Fourth-Order p-Laplacian Boundary Value Problems

Lianlong Sun and Zhilin Yang
Chinese Journal of Mathematics 2013 1 (2013)
DOI: 10.1155/2013/915209

## Existence of a positive solution for one-dimensional singular p -Laplacian problems and its parameter dependence

Xuemei Zhang and Meiqiang Feng
Journal of Mathematical Analysis and Applications 413 (2) 566 (2014)
DOI: 10.1016/j.jmaa.2013.11.038

## Lyapunov-type inequalities for a fractional p-Laplacian equation

Nassir Al Arifi, Ishak Altun, Mohamed Jleli, Aref Lashin and Bessem Samet
Journal of Inequalities and Applications 2016 (1) (2016)
DOI: 10.1186/s13660-016-1132-y

## Modeling, Simulation and Optimization for Science and Technology

Guillaume Jouvet and Jacques Rappaz
Computational Methods in Applied Sciences, Modeling, Simulation and Optimization for Science and Technology 34 83 (2014)
DOI: 10.1007/978-94-017-9054-3_5

## An interior penalty discontinuous Galerkin finite element method for quasilinear parabolic problems

Ioannis Toulopoulos
Finite Elements in Analysis and Design 95 42 (2015)
DOI: 10.1016/j.finel.2014.11.001

## On local Morse theory for p-area functionals, p > 2

Silvia Cingolani
Journal of Fixed Point Theory and Applications 14 (2) 355 (2013)
DOI: 10.1007/s11784-014-0163-6

## Ice-Sheet Dynamics

Christian Schoof and Ian Hewitt
Annual Review of Fluid Mechanics 45 (1) 217 (2013)
DOI: 10.1146/annurev-fluid-011212-140632

## Positive solutions for a system of p-Laplacian boundary value problems

Zhilin Yang
Computers & Mathematics with Applications 62 (12) 4429 (2011)
DOI: 10.1016/j.camwa.2011.10.019

## Positive Solutions for a Second-Orderp-Laplacian Boundary Value Problem with Impulsive Effects and Two Parameters

Meiqiang Feng
Abstract and Applied Analysis 2014 1 (2014)
DOI: 10.1155/2014/534787

## Multiple positive solutions for -point boundary-value problems with a one-dimensional -Laplacian

Hanying Feng, Weigao Ge and Ming Jiang
Nonlinear Analysis: Theory, Methods & Applications 68 (8) 2269 (2008)
DOI: 10.1016/j.na.2007.01.052

## On the solvability of a fractional differential equation model involving the p-Laplacian operator

Xiping Liu, Mei Jia and Xiufen Xiang
Computers & Mathematics with Applications 64 (10) 3267 (2012)
DOI: 10.1016/j.camwa.2012.03.001

## Computational Fluid Dynamics

Chapman & Hall/CRC Numerical Analy & Scient Comp. Series, Computational Fluid Dynamics 20116358 329 (2011)
DOI: 10.1201/b11033-12

## Finite volume schemes for the p-Laplacian on Cartesian meshes

Boris Andreianov, Franck Boyer and Florence Hubert
ESAIM: Mathematical Modelling and Numerical Analysis 38 (6) 931 (2004)
DOI: 10.1051/m2an:2004045

## Positive solutions for a fourth order p-Laplacian boundary value problem

Jiafa Xu and Zhilin Yang
Nonlinear Analysis: Theory, Methods & Applications 74 (7) 2612 (2011)
DOI: 10.1016/j.na.2010.12.016

## Well-Posedness Results for a Nonlinear Stokes Problem Arising in Glaciology

Qingshan Chen, Max Gunzburger and Mauro Perego
SIAM Journal on Mathematical Analysis 45 (5) 2710 (2013)
DOI: 10.1137/110848694

## Finite element approximations of a glaciology problem

Sum S. Chow, Graham F. Carey and Michael L. Anderson
ESAIM: Mathematical Modelling and Numerical Analysis 38 (5) 741 (2004)
DOI: 10.1051/m2an:2004033

## Existence of infinitely many weak solutions for the -Laplacian with nonlinear boundary conditions

Ji-Hong Zhao and Pei-Hao Zhao
Nonlinear Analysis: Theory, Methods & Applications 69 (4) 1343 (2008)
DOI: 10.1016/j.na.2007.06.036

## A fixed point operator for systems of vector p-Laplacian with singular weights

Xianghui Xu, Inbo Sim and Yong-Hoon Lee
Boundary Value Problems 2016 (1) (2016)
DOI: 10.1186/s13661-016-0582-y

## Achieving Textbook Multigrid Efficiency for Hydrostatic Ice Sheet Flow

Jed Brown, Barry Smith and Aron Ahmadia
SIAM Journal on Scientific Computing 35 (2) B359 (2013)
DOI: 10.1137/110834512

## Regularity and Morse Index of the Solutions to Critical Quasilinear Elliptic Systems

José Carmona, Silvia Cingolani, Pedro J. Martínez-Aparicio and Giuseppina Vannella
Communications in Partial Differential Equations 38 (10) 1675 (2013)
DOI: 10.1080/03605302.2013.816856

## Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids

R. Eymard, T. Gallouët and R. Herbin
Journal of Numerical Mathematics 17 (3) 173 (2009)
DOI: 10.1515/JNUM.2009.010

## Finite volume schemes for fully non-linear elliptic equations in divergence form

Jérôme Droniou
ESAIM: Mathematical Modelling and Numerical Analysis 40 (6) 1069 (2006)
DOI: 10.1051/m2an:2007001

## Successive iteration and positive symmetric solution for a Sturm–Liouville-like four-point boundary value problem with a -Laplacian operator

Xiangkui Zhao and Weigao Ge
Nonlinear Analysis: Theory, Methods & Applications 71 (11) 5531 (2009)
DOI: 10.1016/j.na.2009.04.060

## Positive solutions for third-order Sturm–Liouville boundary value problems with p-Laplacian

Chen Yang and Jurang Yan
Computers & Mathematics with Applications 59 (6) 2059 (2010)
DOI: 10.1016/j.camwa.2009.12.011

## Nonlinear neutral inclusions: Assemblages of spheres

Silvia Jiménez, Bogdan Vernescu and William Sanguinet
International Journal of Solids and Structures 50 (14-15) 2231 (2013)
DOI: 10.1016/j.ijsolstr.2013.03.036

## Existence and iteration of positive solutions for third-order Sturm–Liouville boundary value problems with p-Laplacian

Xingfang Feng, Hanying Feng and Huixuan Tan
Applied Mathematics and Computation 266 634 (2015)
DOI: 10.1016/j.amc.2015.05.118

## Computing the First Eigenpair of the p-Laplacian via Inverse Iteration of Sublinear Supersolutions

Rodney Josué Biezuner, Jed Brown, Grey Ercole and Eder Marinho Martins
Journal of Scientific Computing 52 (1) 180 (2012)
DOI: 10.1007/s10915-011-9540-0

## Positive solutions for a fractional boundary value problem with p-Laplacian operator

Youzheng Ding, Zhongli Wei and Jiafa Xu
Journal of Applied Mathematics and Computing 41 (1-2) 257 (2013)
DOI: 10.1007/s12190-012-0594-4

## Positive solutions for m-point boundary-value problems with one-dimensional p-Laplacian

Xinguang Zhang and Lishan Liu
Journal of Applied Mathematics and Computing 37 (1-2) 523 (2011)
DOI: 10.1007/s12190-010-0447-y

## Deviating arguments, impulsive effects, and positive solutions for second order singular p-Laplacian equations

Xuemei Zhang and Meiqiang Feng
Advances in Difference Equations 2015 (1) (2015)
DOI: 10.1186/s13662-015-0472-0

## Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations

Jérôme Droniou and Robert Eymard
Numerische Mathematik 132 (4) 721 (2016)
DOI: 10.1007/s00211-015-0733-6

## On singularly weighted generalized Laplacian systems and their applications

Xianghui Xu and Yong-Hoon Lee
Advances in Nonlinear Analysis 7 (2) 149 (2018)
DOI: 10.1515/anona-2016-0018

## The Inverse Power Method for the $$p(x)$$ p ( x ) -Laplacian Problem

M. Caliari and S. Zuccher
Journal of Scientific Computing 65 (2) 698 (2015)
DOI: 10.1007/s10915-015-9982-x

## Consistent approximations and boundary conditions for ice-sheet dynamics from a principle of least action

John K. Dukowicz, Stephen F. Price and William H. Lipscomb
Journal of Glaciology 56 (197) 480 (2010)
DOI: 10.3189/002214310792447851

## A Third-Orderp-Laplacian Boundary Value Problem Solved by an SL(3,ℝ)Lie-Group Shooting Method

Chein-Shan Liu
Journal of Applied Mathematics 2013 1 (2013)
DOI: 10.1155/2013/497863

## Numerical solutions of systems with (p,δ)-structure using local discontinuous Galerkin finite element methods

Dietmar Kröner, Michael Růžička and Ioannis Toulopoulos
International Journal for Numerical Methods in Fluids 76 (11) 855 (2014)
DOI: 10.1002/fld.3955

## Correctors and field fluctuations for thepϵ(x)-Laplacian with rough exponents : The sublinear growth case

Silvia Jimenez
ESAIM: Mathematical Modelling and Numerical Analysis 47 (2) 349 (2013)
DOI: 10.1051/m2an/2012030

## On one-dimensional superlinear indefinite problems involving the $$\phi$$ ϕ -Laplacian

Uriel Kaufmann and Leandro Milne
Journal of Fixed Point Theory and Applications 20 (3) (2018)
DOI: 10.1007/s11784-018-0613-7

## Ws,p-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray–Lions problems

Daniele A. Di Pietro and Jérôme Droniou
Mathematical Models and Methods in Applied Sciences 27 (05) 879 (2017)
DOI: 10.1142/S0218202517500191

## Existence of positive periodic solutions for the p-Laplacian system

Jiebao Sun, Yuanyuan Ke, Chunhua Jin and Jingxue Yin
Applied Mathematics Letters 20 (6) 696 (2007)
DOI: 10.1016/j.aml.2006.07.010

## Multiple positive solutions of the one-dimensional p-Laplacian

Journal of Mathematical Analysis and Applications 317 (1) 43 (2006)
DOI: 10.1016/j.jmaa.2005.10.040

## A new existence result for the boundary value problem of p-Laplacian equations with sign-changing weights

Xianghui Xu
Proceedings - Mathematical Sciences 129 (4) (2019)
DOI: 10.1007/s12044-019-0500-1

## The element-free Galerkin method for the nonlinear p-Laplacian equation

Xiaolin Li and Haiyun Dong
Computers & Mathematics with Applications 75 (7) 2549 (2018)
DOI: 10.1016/j.camwa.2017.12.019

## MATHEMATICAL AND NUMERICAL ANALYSIS OF A THREE-DIMENSIONAL FLUID FLOW MODEL IN GLACIOLOGY

Mathematical Models and Methods in Applied Sciences 15 (01) 37 (2005)
DOI: 10.1142/S0218202505003897

## THREE NON-ZERO SOLUTIONS FOR ELLIPTIC NEUMANN PROBLEMS

GIUSEPPINA D'AGUÌ and GIOVANNI MOLICA BISCI
Analysis and Applications 09 (04) 383 (2011)
DOI: 10.1142/S021953051100190X

## COULOMB FRICTION AND OTHER SLIDING LAWS IN A HIGHER-ORDER GLACIER FLOW MODEL

CHRISTIAN SCHOOF
Mathematical Models and Methods in Applied Sciences 20 (01) 157 (2010)
DOI: 10.1142/S0218202510004180

## Nonlinear neutral inclusions: assemblages of coated ellipsoids

Silvia Jiménez Bolaños and Bogdan Vernescu
Royal Society Open Science 2 (4) 140394 (2015)
DOI: 10.1098/rsos.140394

## Positive solutions for nonlinear problems involving the one-dimensional ϕ-Laplacian

Uriel Kaufmann and Leandro Milne
Journal of Mathematical Analysis and Applications 461 (1) 24 (2018)
DOI: 10.1016/j.jmaa.2017.12.063

## Positive Solutions for Discrete Boundary Value Problems to One-Dimensionalp-Laplacian with Delay

Linjun Wang and Xumei Chen
Journal of Applied Mathematics 2013 1 (2013)
DOI: 10.1155/2013/157043

## Some Existence Results of Positive Solutions forφ-Laplacian Systems

Xianghui Xu and Yong-Hoon Lee
Abstract and Applied Analysis 2014 1 (2014)
DOI: 10.1155/2014/814312

## Analysis and Finite Element Approximation of a Nonlinear Stationary Stokes Problem Arising in Glaciology

Guillaume Jouvet and Jacques Rappaz
Advances in Numerical Analysis 2011 1 (2011)
DOI: 10.1155/2011/164581

## Principal frequency of the p-Laplacian and the inradius of Euclidean domains

Guillaume Poliquin
Journal of Topology and Analysis 07 (03) 505 (2015)
DOI: 10.1142/S1793525315500211

## Existence results for first derivative dependent ϕ-Laplacian boundary value problems

Boundary Value Problems 2020 (1) (2020)
DOI: 10.1186/s13661-020-01453-x

## Extremal p -Laplacian eigenvalues

Pedro R S Antunes
Nonlinearity 32 (12) 5087 (2019)
DOI: 10.1088/1361-6544/ab47c5

## The asymptotic behavior for anisotropic parabolic p ‐Laplacian equations

Chenyin Qian and Daorui Yuan
Mathematische Nachrichten 293 (10) 1968 (2020)
DOI: 10.1002/mana.201900220

## On singular p -Laplacian boundary value problems involving integral boundary conditions

Dang Dinh Hai and Xiao Wang
Electronic Journal of Qualitative Theory of Differential Equations (90) 1 (2019)
DOI: 10.14232/ejqtde.2019.1.90

## An efficient meshless radial point collocation method for nonlinear p-Laplacian equation

Boundary Value Problems 2020 (1) (2020)
DOI: 10.1186/s13661-020-01457-7

## Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions

Yan-Hsiou Cheng and Wei-Chuan Wang
Nonlinear Analysis 190 111614 (2020)
DOI: 10.1016/j.na.2019.111614

## Glaciers and Ice Sheets in the Climate System

Ed Bueler
Springer Textbooks in Earth Sciences, Geography and Environment, Glaciers and Ice Sheets in the Climate System 185 (2021)
DOI: 10.1007/978-3-030-42584-5_8

## Positive solutions to one-dimensional quasilinear impulsive indefinite boundary value problems

Peige Qin, Meiqiang Feng and Ping Li
Advances in Difference Equations 2018 (1) (2018)
DOI: 10.1186/s13662-018-1881-7

## Numerical Methods for Power-Law Diffusion Problems

Ioannis Toulopoulos and Thomas Wick
SIAM Journal on Scientific Computing 39 (3) A681 (2017)
DOI: 10.1137/16M1067792

## A Gradient Discretization Method to Analyze Numerical Schemes for Nonlinear Variational Inequalities, Application to the Seepage Problem

Yahya Alnashri and Jérôme Droniou
SIAM Journal on Numerical Analysis 56 (4) 2375 (2018)
DOI: 10.1137/16M1105517

## Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes

Boris Andreianov, Franck Boyer and Florence Hubert
Numerical Methods for Partial Differential Equations 23 (1) 145 (2007)
DOI: 10.1002/num.20170

## Positive solutions for a second-order p-Laplacian impulsive boundary value problem

Youzheng Ding and Donal O’Regan
Advances in Difference Equations 2012 (1) 159 (2012)
DOI: 10.1186/1687-1847-2012-159

## Analyzing the nonlinear p-Laplacian problem with the improved element-free Galerkin method

Xiaolin Li and Shuling Li
Engineering Analysis with Boundary Elements 100 48 (2019)
DOI: 10.1016/j.enganabound.2018.04.004

## Necessary and Sufficient Conditions of Existence for Positive Solution to a Class of Quasilinear Elliptic Systems in R N

Guoqing Zhang and Sanyang Liu
Acta Applicandae Mathematicae 110 (2) 771 (2010)
DOI: 10.1007/s10440-009-9473-x

## Boundary value problems associated with singular strongly nonlinear equations with functional terms

Stefano Biagi, Alessandro Calamai, Cristina Marcelli and Francesca Papalini
Advances in Nonlinear Analysis 10 (1) 684 (2020)
DOI: 10.1515/anona-2020-0131

## Approximation of the first eigenpair of the -Laplace operator using WEB-spline based finite element method

Suchismita Patra, Sudhakar Chaudhary and V.V.K. Srinivas Kumar
Engineering Analysis with Boundary Elements 104 277 (2019)
DOI: 10.1016/j.enganabound.2019.03.035

## A least-squares finite element method for a nonlinear Stokes problem in glaciology

Irene Sonja Monnesland, Eunjung Lee, Max Gunzburger and Ryeongkyung Yoon
Computers & Mathematics with Applications 71 (11) 2421 (2016)
DOI: 10.1016/j.camwa.2015.11.001

## Hamilton-type principles applied to ice-sheet dynamics: new approximations for large-scale ice-sheet flow

J.N. Bassis
Journal of Glaciology 56 (197) 497 (2010)
DOI: 10.3189/002214310792447761

## Positive solutions for a system of second-order quasilinear boundary value problems

Zhilin Yang, Xiaomei Wang and Hongyu Li
Nonlinear Analysis 195 111749 (2020)
DOI: 10.1016/j.na.2020.111749

## Boundedness of weak solutions of a chemotaxis-Stokes system with slow p-Laplacian diffusion

Weirun Tao and Yuxiang Li
Journal of Differential Equations 268 (11) 6872 (2020)
DOI: 10.1016/j.jde.2019.11.078

## Enclosure method for the p -Laplace equation

Tommi Brander, Manas Kar and Mikko Salo
Inverse Problems 31 (4) 045001 (2015)
DOI: 10.1088/0266-5611/31/4/045001

## Discrete comparison principles for quasilinear elliptic PDE

Sara Pollock and Yunrong Zhu
Applied Numerical Mathematics 156 106 (2020)
DOI: 10.1016/j.apnum.2020.04.013

## The Hybrid High-Order Method for Polytopal Meshes

Daniele Di Antonio Pietro and Jérôme Droniou
MS&A, The Hybrid High-Order Method for Polytopal Meshes 19 273 (2020)
DOI: 10.1007/978-3-030-37203-3_6

## Discontinuous Skeletal Gradient Discretisation methods on polytopal meshes

Daniele A. Di Pietro, Jérôme Droniou and Gianmarco Manzini
Journal of Computational Physics 355 397 (2018)
DOI: 10.1016/j.jcp.2017.11.018