Critical semilinear equations on the Heisenberg group
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Publication:2756125
DOI10.1007/BF02826094zbMath1200.35149OpenAlexW115020753MaRDI QIDQ2756125
Publication date: 12 November 2001
Published in: ANNALI DELL UNIVERSITA DI FERRARA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02826094
Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Variational methods for second-order elliptic equations (35J20)
Related Items
Multiple non-negative solutions to a semilinear equation on Heisenberg group with indefinite nonlinearity ⋮ Divergence symmetries of critical Kohn-Laplace equations on Heisenberg groups ⋮ Nonlinear Liouville theorems for some critical problems on \(H\)-type groups.
Cites Work
- Unnamed Item
- Unnamed Item
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- The Yamabe problem on CR manifolds
- Best constant in Sobolev inequality
- A non-existence theorem for a semilinear Dirichlet problem involving critical exponent on halfspaces of the Heisenberg group
- Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- Existence and non-existence results for semilinear elliptic problems in unbounded domains
- A fundamental solution for a subelliptic operator
- Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain