Dirichlet eigenvalue estimates for p-sub-Laplacian in the Heisenberg group
Na Wei · 2008
We study the Dirichlet eigenvalue problem for the p-Laplace operator on a bounded domain in the Heisenberg group Hn.Using the Ljusternik-Schnireman principle,we show the existence of a sequence of eigenvalues.Then we give the estimate of the fundamental eigenvalue ratio,using the Hardy-type inequality on the bounded domain.