The limit as \(p(x)\rightarrow \infty \) of solutions to the inhomogeneous Dirichlet problem of the \(p(x)\)-Laplacian
type: Item
instance of: scholarly article
title: The limit as \(p(x)\rightarrow \infty \) of solutions to the inhomogeneous Dirichlet problem of the \(p(x)\)-Laplacian
zbMATH Open document ID: 1196.35090
author: J. D. Rossi
author: Mayte Pérez-Llanos
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-08-19T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A35
zbMATH DE Number: 5773030
zbMATH Keywords: \(\infty \)-Laplacian
zbMATH Keywords: \(p(x)\)-Laplacian
zbMATH Keywords: Dirichlet boundary conditions
MaRDI profile type: Publication
full work available at URL: j.na.2010.05.032
OpenAlex ID: W2093277729
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: A tour of the theory of absolutely minimizing functions
cites work: Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
cites work: Differential equations methods for the Monge-Kantorovich mass transfer problem
cites work: The Neumann problem for the \(\infty\)-Laplacian and the Monge--Kantorovich mass transfer problem
cites work: An axiomatic approach to image interpolation
cites work: Tug-of-war and the infinity Laplacian
cites work: Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
cites work: Limit Branch of Solutions asp → ∞ for a Family of Sub-Diffusive Problems Related to thep-Laplacian
cites work: On the higher eigenvalues for the \(\infty\)-eigenvalue problem
cites work: The \(\infty\)-eigenvalue problem
cites work: Q4021390
cites work: Overview of differential equations with non-standard growth
cites work: \(p(x)\)-harmonic functions with unbounded exponent in a subdomain
cites work: A curious equation involving the ∞-Laplacian
cites work: Limits as \(p(x)\rightarrow \infty \) of \(p(x)\)-harmonic functions
cites work: The behaviour of the \(p(x)\)-Laplacian eigenvalue problem as \(p(x)\rightarrow \infty \)
cites work: Eigenvalues of the \(p(x)\)-Laplacian Steklov problem
cites work: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: Q3999077
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation
DOI: 10.1016/J.NA.2010.05.032
description: scientific article; zbMATH DE number 5773030