Existence results for critical semi-linear equations on Heisenberg group domains
From MaRDI portal
Publication:1762385
DOI10.1007/s00009-011-0152-6zbMath1256.35186OpenAlexW2082257483MaRDI QIDQ1762385
Amine Amri, Najoua Gamara, Habiba Guemri
Publication date: 23 November 2012
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-011-0152-6
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (3)
Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ Non-characteristic Heisenberg group domains ⋮ Fractional Adams-Moser-Trudinger type inequality on Heisenberg group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- CR Yamabe conjecture -- the conformally flat case.
- The Yamabe problem on CR manifolds
- A non-existence theorem for a semilinear Dirichlet problem involving critical exponent on halfspaces of the Heisenberg group
- A perturbation result for the Webster scalar curvature problem on the CR sphere.
- A note on Yamabe-type equations on the Heisenberg group
- On the prescribed scalar curvature problem on 4-manifolds
- Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian
- A semilinear problem for the Heisenberg Laplacian
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- Positive solutions of Yamabe-type equations on the Heisenberg group
- On a variational problem involving critical Sobolev growth in dimension four
- Some existence results for the Webster scalar curvature problem in presence of symmetry
- Estimates of the Green’s Function and its Regular Part on Heisenberg Group Domains
- The Prescribed Scalar Curvature on a 3 - Dimensional CR Manifold
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- A Liouville-type theorem on halfspaces for the Kohn Laplacian
- Indefinite semi–linear equations on the heisenberg group: a prior1 bounds and existence
- Nonlinear liouville theorems in the heisenberg group vip the moving plane method
- On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups
- Non-existence results for semilinear kohn-laplace equations in unbounded domains
- Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain
This page was built for publication: Existence results for critical semi-linear equations on Heisenberg group domains
