A Neumann problem involving the \(p(x)\)-Laplacian with \(p=\infty\) in a subdomain

DOI10.1515/ACV-2014-0003zbMath1331.35141arXiv1310.5173OpenAlexW2018994837MaRDI QIDQ905397

Yiannis Karagiorgos, Nikolaos G. Yannakakis

Publication date: 19 January 2016

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5173

zbMATH Keywords

viscosity solutionNeumann probleminfinity Laplacianvariable exponent\(p(x)\)-Laplacianinfinity harmonic function

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Viscosity solutions to PDEs (35D40) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (10)

Existence and multiplicity of solutions for \(p(x)\)-Laplacian problem with Steklov boundary condition ⋮ Existence of radial solutions for a \(p(x)\)-Laplacian Dirichlet problem ⋮ A Tour on p(x)-Laplacian Problems When p = ∞ ⋮ A class of biharmonic nonlocal quasilinear systems consisting of Leray-Lions type operators with Hardy potentials ⋮ Existence results to a Leray-Lions type problem on the Heisenberg Lie groups ⋮ Solutions to a \((p(x),q(x))\)-biharmonic elliptic problem on a bounded domain ⋮ Existence of radial weak solutions to Steklov problem involving Leray-Lions type operator ⋮ A \((p(x),q(x))\)-Laplacian problem with the Steklov boundary conditions ⋮ Uniqueness of renormalized solution to nonlinear Neumann problems with variable exponent ⋮ Three Weak Solutions for a Class of $$\boldsymbol{p(x)}$$-Kirchhoff Type Biharmonic Problems

This page was built for publication: A Neumann problem involving the \(p(x)\)-Laplacian with \(p=\infty\) in a subdomain