Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian
From MaRDI portal
Publication:1913383
DOI10.1007/BF01759361zbMath0848.35040OpenAlexW2027885146MaRDI QIDQ1913383
Publication date: 14 May 1996
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01759361
Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items
Non-existence results for semilinear kohn-laplace equations in unbounded domains ⋮ A note on commutators of the fractional sub-Laplacian on Carnot groups ⋮ Multiple non-negative solutions to a semilinear equation on Heisenberg group with indefinite nonlinearity ⋮ Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ On the webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry ⋮ Multiplicity result for a nonhomogeneous Yamabe type equation involving the Kohn Laplacian ⋮ On the Sobolev quotient of three-dimensional CR manifolds ⋮ Regularity lifting of weak solutions for nonlinear sub-Laplace equations on homogeneous groups ⋮ A perturbation result for the Webster scalar curvature problem on the CR sphere. ⋮ Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations ⋮ Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group ⋮ THE LONG-TIME EXISTENCE AND CONVERGENCE OF THE CR YAMABE FLOW ⋮ Critical growth problems with singular nonlinearities on Carnot groups ⋮ Semilinear subelliptic problems with critical growth on Carnot groups ⋮ Convergence of the CR Yamabe flow ⋮ On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups ⋮ Yamabe-type equations on Carnot groups ⋮ Critical semilinear equations on the Heisenberg group ⋮ Unnamed Item ⋮ Existence results for critical semi-linear equations on Heisenberg group domains ⋮ Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain ⋮ Non-characteristic Heisenberg group domains ⋮ Fractional Adams-Moser-Trudinger type inequality on Heisenberg group ⋮ Existence and nonexistence results for Kohn Laplacian with Hardy-Littlewood-Sobolev critical exponents ⋮ Critical equations with Hardy terms in the Heisenberg group ⋮ Kirchhoff-type problems involving the fractional \(p\)-Laplacian on the Heisenberg group ⋮ Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group ⋮ A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent ⋮ Entire solutions for some critical equations in the Heisenberg group ⋮ Complex group actions on the sphere and sign changing solutions for the CR-Yamabe equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Convergence of solutions of H-systems or how to blow bubbles
- Intrinsic CR normal coordinates and the CR Yamabe problem
- The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I
- Subelliptic estimates and function spaces on nilpotent Lie groups
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
- 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
- Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
- Holder-Continuity of the Solutions for Operators which are a Sum of Squares of Vector Fields Plus a Potential
- Existence and non-existence results for semilinear elliptic problems in unbounded domains
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Embedding Theorems and Quasi-Linear Elliptic Boundary Value Problems for Unbounded Domains
- A fundamental solution for a subelliptic operator