A strong maximum principle for quasilinear elliptic differential equations in a variable exponent Sobolev space
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Publication:6635197
DOI10.1016/j.jmaa.2024.128787MaRDI QIDQ6635197
Publication date: 9 November 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
nonlinear differential equationsstrong maximum principlemean curvature operator\(p(\cdot)\)-Laplacian
Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
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- 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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