Symmetry and monotonicity of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical cone

DOI10.1007/s00526-018-1440-9zbMath1400.35140OpenAlexW2894192521MaRDI QIDQ1787131

Yi Li, Ruofei Yao, Hong-Bin Chen

Publication date: 4 October 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-018-1440-9

zbMATH Keywords

positive solutionsmixed boundary conditionssemilinear equationLaplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Qualitative properties of nonnegative solutions of some semilinear elliptic equations in cylindrical domains ⋮ A shape variation result via the geometry of eigenfunctions ⋮ Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector ⋮ Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a sub-spherical sector

Cites Work

• Unnamed Item
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• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
• Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
• Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
• Multi-peak solutions for some singular perturbation problems
• Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
• Symmetry results for solutions of semilinear elliptic equations with convex nonlinearities
• Symmetry and monotonicity of positive solution of elliptic equation with mixed boundary condition in a spherical cone
• Multipeak solutions for a singularly perturbed Neumann problem
• The symmetry of least-energy solutions for semilinear elliptic equations.
• Existence and instability of spike layer solutions to singular perturbation problems
• Uniqueness of multiple-spike solutions viat the method of moving planes
• A symmetry problem in potential theory
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Symmetry of solutions to semilinear elliptic equations via Morse index
• On the shape of least‐energy solutions to a semilinear Neumann problem
• Elliptic Partial Differential Equations of Second Order
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• On the Modular Representation Theory of the Two-Dimensional Special Linear Group Over an Algebraically Closed Field
• Locating the peaks of solutions via the maximum principle: I. The Neumann problem
• Boundary concentration phenomena for a singularly perturbed elliptic problem
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
• On the method of moving planes and the sliding method
• Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball
• Symmetry properties for positive solutions to some elliptic equations in sector domains with large amplitude
• Method of rotating planes applied to a singularly perturbed Neumann problem

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