Monotonicity and symmetry of positive solutions to degenerate quasilinear elliptic systems in half-spaces and strips

DOI10.3934/CPAA.2022008zbMath1485.35247OpenAlexW4205163576MaRDI QIDQ2669237

Yanyan Li

Publication date: 9 March 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022008

zbMATH Keywords

moving plane methodmonotonicity of solutionssymmetry of solutionsquasilinear elliptic systems in half-space

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces
• Monotonicity and one-dimensional symmetry for solutions of \(-\Delta_{p}u = f(u)\) in half-spaces
• Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
• A characteristic property of spheres
• Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of \(m\)-Laplace equations
• A priori estimates and application to the symmetry of solutions for critical \(p\)-Laplace equations
• Moving plane methods for systems on half spaces
• Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems
• Symmetry and related properties via the maximum principle
• Symmetry properties in systems of semilinear elliptic equations
• Regularity for a more general class of quasilinear equations
• Monotonicity and symmetry of solutions of elliptic systems in general domains
• Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces
• Qualitative properties of positive solutions to systems of quasilinear elliptic equations
• Monotonicity and nonexistence results to cooperative systems in the half space
• Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations
• A symmetry problem in potential theory
• Classification of positive \(\mathcal{D}^{1, p}(\mathbb{R}^N)\)-solutions to the critical \(p\)-Laplace equation in \(\mathbb{R}^N\)
• Monotonicity in half-spaces of positive solutions to -\Delta_p u = f(u) in the case p > 2
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On the method of moving planes and the sliding method

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