Existence Of Positive Ground State Solutions For The Nonlinear P-Kirchhoff Type Equations In R~N

In this paper, we study the existence of solutions to the following nonlinear p-Kirchhoff equation: where a.b>0are constants Under certain assumptions on V, we prove that () has a positive ground state solution by using a new version of global compactness lemma. Our main results extend a result about the nonlinear Kirchhoff type problem in R3 by Li and Ye to the nonlinear p-Kirchhoff type equation.