Eigenvalue Problems of the p-sub-Laplacian With Indefinite Weight on the Heisenberg Group
Dou Jingbo, Han Ya-zhou · Advances in Mathematics · 2011
In this paper we discuss the existence of solutions for eigenvalue problems of p-sub -Laplacian with indefinite weight on the Heisenberg group,and prove that the first eigenvalue associated to a nonnegative eigenfunction is simple,isolated and unique.