Nonnegative nontrivial solutions for a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities

Abstract

Abstract In this paper, we study the existence of a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities. The main tools used are the perturbation technique, variational method, and a priori estimation.

Keywords

• p ( x ) $p(x)$ -Kirchhoff problem
• Degenerate elliptic equation
• Concave-convex nonlinearities
• Perturbation technique
• Variational methods