This issuePrevious ArticleEntire large solutions of semilinear elliptic equations of mixed typeNext ArticleOn the asymptotic behavior of an exponentially bounded, strongly continuous cocycle over a semiflow
Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential
In this work, we study the Dirichlet problem for a class of
semi-linear sub-elliptic equations on the Heisenberg group with a
singular potential. The singularity is controlled by Hardy's
inequality, and the nonlinearity is controlled by Sobolev's inequality.
We prove the existence of a nontrivial solution for a homogenous