Monotonicity and symmetry of singular solutions to quasilinear problems

DOI10.1016/j.matpur.2018.09.005zbMath1418.35199arXiv1709.01281OpenAlexW3104038448MaRDI QIDQ2416987

Luigi Montoro, Francesco Esposito, Berardino Sciunzi

Publication date: 27 May 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01281

zbMATH Keywords

positive solutionsquasilinear elliptic equations\(p\)-Laplaciansingular solutions

Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Qualitative properties of singular solutions to fractional elliptic equations ⋮ Monotonicity and symmetry of positive solution for 1-Laplace equation ⋮ Symmetry and monotonicity of singular solutions of double phase problems ⋮ Regularity and symmetry results for nonlinear degenerate elliptic equations ⋮ Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential ⋮ A symmetry result for cooperative elliptic systems with singularities ⋮ Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity ⋮ The moving plane method for doubly singular elliptic equations involving a first-order term ⋮ Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearities ⋮ Symmetry results for \(p\)-Laplacian systems involving a first-order term

Cites Work

• Solutions of semilinear elliptic equations in tubes
• 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
• The maximum principle
• Symmetry and related properties via the maximum principle
• Regularity for a more general class of quasilinear equations
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Qualitative properties of singular solutions to semilinear elliptic problems
• On the moving plane method for singular solutions to semilinear elliptic equations
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential
• A symmetry problem in potential theory
• 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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