A strong maximum principle for quasilinear elliptic differential equations in a variable exponent Sobolev space

DOI10.1016/j.jmaa.2024.128787MaRDI QIDQ6635197

Junichi Aramaki

Publication date: 9 November 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear differential equationsstrong maximum principlemean curvature operator\(p(\cdot)\)-Laplacian

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• On the prescribed variable exponent mean curvature impulsive system boundary value problems
• Degenerate parabolic equations
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Existence of solutions for a class of elliptic systems in \(\mathbb R^{N}\) involving the \((p(x),q(x))\)-Laplacian
• Maximum and comparison principles for operators involving the \(p\)-Laplacian
• Elliptic partial differential equations of second order
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• A strong maximum principle for some quasilinear elliptic equations
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
• On \(p(z)\)-Laplacian system involving critical nonlinearities
• A class of De Giorgi type and Hölder continuity
• Strong maximum principles for supersolutions of quasilinear elliptic equations
• Sobolev embeddings with variable exponent
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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