A supercritical elliptic equation in the annulus
From MaRDI portal
Publication:2691951
DOI10.4171/AIHPC/38MaRDI QIDQ2691951
Francesca Colasuonno, Benedetta Noris, Tobias Weth, Alberto Boscaggin
Publication date: 21 March 2023
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07141
invariant conesvariational and topological methodsaxially symmetric solutionssupercritical elliptic equationshigh Morse index solutions
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Second-order elliptic equations (35J15) Axially symmetric solutions to PDEs (35B07) Topological and monotonicity methods applied to PDEs (35A16)
Cites Work
- Unnamed Item
- Unnamed Item
- Increasing radial solutions for Neumann problems without growth restrictions
- A \(p\)-Laplacian supercritical Neumann problem
- Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
- Monotonicity constraints and supercritical Neumann problems
- Functional analysis, Sobolev spaces and partial differential equations
- A nonlinear boundary value problem with many positive solutions
- Symmetry and related properties via the maximum principle
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Nonlinear elliptic equations on expanding symmetric domains
- Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli
- Symmetry results for perturbed problems and related questions
- Symmetry breaking for an elliptic equation involving the fractional Laplacian.
- Super-critical boundary bubbling in a semilinear Neumann problem
- Existence of many positive solutions of semilinear equations on annulus
- Uniqueness of positive radial solutions for \(\Delta u-u+u^p=0\) on an annulus.
- Minimax theorems
- A nonlocal supercritical Neumann problem
- Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
- Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli
- Large mass boundary condensation patterns in the stationary Keller-Segel system
- Supercritical elliptic problems in domains with small holes
- Symmetry of solutions to semilinear elliptic equations via Morse index
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- A new variational principle, convexity, and supercritical Neumann problems
- A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth
- Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions
- Critical point theory on partially ordered Hilbert spaces
