Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S
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Publication:4487314
DOI10.1080/03605300008821545zbMath0947.35066OpenAlexW2017230049MaRDI QIDQ4487314
Patricio L. Felmer, Jean Dolbeault
Publication date: 30 October 2000
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://basepub.dauphine.fr/handle/123456789/6364
Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (10)
Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case ⋮ Qualitative properties of positive solutions for mixed integro-differential equations ⋮ On the uniqueness and structure of solutions to a coupled elliptic system ⋮ Symmetry properties for nonnegative solutions of non-uniformly elliptic equations in the hyperbolic space ⋮ Positivity and symmetry of nonnegative solutions of semilinear elliptic equations on planar domains ⋮ Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains ⋮ Symmetry results for systems involving fractional Laplacian ⋮ The characters for integral equations system on exterior domain ⋮ Symmetry of Nonnegative Solutions of Elliptic Equations via a Result of Serrin ⋮ Nodal solutions for a sublinear elliptic equation
Cites Work
- Unnamed Item
- A characteristic property of spheres
- Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
- Symmetry and related properties via the maximum principle
- Continuous rearrangement and symmetry of solutions of elliptic problems
- Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case
- A symmetry problem in potential theory
- Radial symmetry of positive solutions of nonlinear elliptic equations in Rn
- Two geometrical properties of solutions of semilinear problems
- Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
- Continuous Steiner‐Symmetrization
- Symmetry of the blow‐up set of a porous medium type equation
- Symmetry in an elliptic problem and the blow—up set of
- On the method of moving planes and the sliding method
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