摘要

In this paper, by computing the relevant critical groups, we obtain nontrivial solutions via Morse theory to the nonlocal p-Kirchhoff-type quasi linear elliptic equation @@@ (P) {[M-u = 0(integral(Omega)vertical bar del u vertical bar(p)dx)](p-1) (-Delta(p)u) = f (x, u), x is an element of Omega, @@@ x is an element of partial derivative Omega, @@@ where Omega subset of R-N is a bounded open domain with smooth boundary partial derivative Omega and N >= 3.

全文