TITLE:
Existence of Solutions for Some p(x)-polyharmonic Elliptic Kirchhoff Equations
AUTHORS:
Yijian Ge
KEYWORDS:
p(x)-polyharmonic Kirchhoff Equations, Existence of Solutions, Schauder’s Fixed Point Theorem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.10,
October
21,
2019
ABSTRACT: In this paper, we study the existence of solution for some p(x)-polyharmonic Kirchhoff equations. The latter is allowed to vanish at the origin (degenerate case). Firstly, we study the existence of solutions of approximate equations. Secondly, we prove the existence of the solutions of the original equation. The main tool is the Schauder’s Theorem.