Radial symmetry of positive solutions for semilinear elliptic equations in the unit ball via elliptic and hyperbolic geometry
From MaRDI portal
Publication:652483
DOI10.1016/j.jde.2011.10.001zbMath1237.35064OpenAlexW2050089235MaRDI QIDQ652483
Kohtaro Watanabe, Naoki Shioji
Publication date: 14 December 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.001
Second-order elliptic equations (35J15) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06) Strong solutions to PDEs (35D35)
Related Items (4)
The Emden-Fowler equation on a spherical cap of \(\mathbb{S}^n\) ⋮ Uniqueness of positive radial solutions of the Brezis-Nirenberg problem on thin annular domains on \(\mathbb{S}^n\) and symmetry breaking bifurcations ⋮ A shape variation result via the geometry of eigenfunctions ⋮ Blow-up of radially symmetric solutions for a semilinear heat equation on hyperbolic space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Radial symmetry of positive solutions for semilinear elliptic equations in a disc
- Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
- A symmetry theorem and applications to nonlinear partial differential equations
- Symmetry and related properties via the maximum principle
- A note on the moving sphere method
- On the positive solutions of the Matukuma equation
- Moving planes, moving spheres, and a priori estimates.
- Some new symmetry results for elliptic problems on the sphere and in Euclidean space
- Serrin's result for hyperbolic space and sphere
- A symmetry problem in potential theory
- Some connections between symmetry results for semilinear PDE in real and hyperbolic spaces
- Radial symmetry of positive solutions of nonlinear elliptic equations in Rn
- Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
- Symmetry properties of positive solutions of elliptic equations on symmetric domains
- Non—existence of positive solutions to semilinear elliptic equations on r” or r” through the method of moving planes
- Monotonicity and Symmetry of Solutions of Fully Nonlinear Elliptic Equations on Bounded domains
- On the method of moving planes and the sliding method
This page was built for publication: Radial symmetry of positive solutions for semilinear elliptic equations in the unit ball via elliptic and hyperbolic geometry
