A further remark on the regularity of the solutions of the p-Laplacian and its applications to their finite element approximation

DOI10.1016/0362-546X(93)90081-3zbMath0856.35017MaRDI QIDQ4275598

John W. Barrett, Wen-bin Liu

Publication date: 2 March 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (12)

Convergence estimates of finite elements for a class of quasilinear elliptic problems ⋮ Preconditioned descent algorithms for \(p\)-Laplacian ⋮ An averaged space-time discretization of the stochastic \(p\)-Laplace system ⋮ Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear parabolic equations and variational inequalities ⋮ A unified analysis of elliptic problems with various boundary conditions and their approximation ⋮ Numerical Methods for Power-Law Diffusion Problems ⋮ Superposition operators between Sobolev spaces and a non-existence result of higher-order regular solutions for the \(p\)-Laplacian ⋮ Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities ⋮ Multigoal-oriented error estimates for non-linear problems ⋮ Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems ⋮ Quasi-norm interpolation error estimates for the piecewise linear finite element approximation of \(p\)-Laplacian problems ⋮ Degenerate quasilinear elliptic equations arising from bimaterial problems in elastic–plastic mechanics11The financial support of the author by the EPSRC under grant GR/J37737 is gratefully acknowledged.

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