Stability of positive solutions to biharmonic equations on Heisenberg group
arXiv:1606.06413
Abstract
In this note, we establish the existence of a positive solution and its stability to the following problem $$Δ_{\mathbb{H}^n}^2u=a(ξ)u-f(ξ,u)\text{ in }Ω, \,\,\, u|_{\partialΩ} = 0 =\left.Δ_{\mathbb{H}^n} u|_{\partialΩ},$$ on Heisenberg group.
arXiv commentSOme remarks are added and few typos are corrected in this version