A strong maximum principle for quasilinear elliptic differential equations in a variable exponent Sobolev space
type: Item
instance of: scholarly article
title: A strong maximum principle for quasilinear elliptic differential equations in a variable exponent Sobolev space
author: Junichi Aramaki
published in: Journal of Mathematical Analysis and Applications
publication date: 2024-11-09T00:00:00Z
Mathematics Subject Classification ID: 65Nxx
Mathematics Subject Classification ID: 35Jxx
zbMATH DE Number: 7940984
zbMATH Keywords: strong maximum principle
zbMATH Keywords: nonlinear differential equations
zbMATH Keywords: \(p(\cdot)\)-Laplacian
zbMATH Keywords: mean curvature operator
MaRDI profile type: Publication
cites work: On \(p(z)\)-Laplacian system involving critical nonlinearities
cites work: Q5876179
cites work: Q4393470
cites work: Degenerate parabolic equations
cites work: Sobolev embeddings with variable exponent
cites work: Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
cites work: Boundary trace embedding theorems for variable exponent Sobolev spaces
cites work: A class of De Giorgi type and Hölder continuity
cites work: Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
cites work: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Q4454131
cites work: Maximum and comparison principles for operators involving the \(p\)-Laplacian
cites work: Elliptic partial differential equations of second order
cites work: Q4144736
cites work: Q4354424
cites work: Strong maximum principles for supersolutions of quasilinear elliptic equations
cites work: Existence of solutions for a class of elliptic systems in \(\mathbb R^{N}\) involving the \((p(x),q(x))\)-Laplacian
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: On the prescribed variable exponent mean curvature impulsive system boundary value problems
cites work: A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
cites work: Q3995594
DOI: 10.1016/J.JMAA.2024.128787
description: scientific article; zbMATH DE number 7940984