On the existence and multiplicity of solutions for a class of sub-Laplacian problems involving critical Sobolev–Hardy exponents on Carnot groups

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Subelliptic equations (35H20)

Related Items (1)

On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Critical growth problems with singular nonlinearities on Carnot groups
Solutions for semilinear elliptic equations with critical exponents and Hardy potential
Local behavior of solutions to subelliptic problems with Hardy potential on Carnot groups
Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights
On a \(p\)-Laplace equation with multiple critical nonlinearities
Subelliptic estimates and function spaces on nilpotent Lie groups
Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.
Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents
Quasilinear elliptic problems with critical exponents and Hardy terms
A concentration-compactness lemma with applications to singular eigenvalue problems
\(H\)-type groups and Iwasawa decompositions
On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth
Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents
Solutions of a quasilinear elliptic problem involving a critical Sobolev exponent and multiple Hardy-type terms
Some Hardy inequalities on the Heisenberg group
A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
Nonlinear equations on Carnot groups and curvature problems for CR manifolds
Hardy-Sobolev type inequalities on the H-type group
A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
Sign Changing Solutions of Superlinear Schrödinger Equations
Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth
Stratified Lie Groups and Potential Theory for their Sub-Laplacians
Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity

This page was built for publication: On the existence and multiplicity of solutions for a class of sub-Laplacian problems involving critical Sobolev–Hardy exponents on Carnot groups