Author(s)

Yijian Ge

School of Science, University of Shanghai for Science and Technology, Shanghai, China.

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.

p(x)-polyharmonic Kirchhoff Equations, Existence of Solutions, Schauder’s Fixed Point Theorem

Ge, Y. (2019) Existence of Solutions for Some p(x)-polyharmonic Elliptic Kirchhoff Equations. Advances in Pure Mathematics, 9, 863-878. doi: 10.4236/apm.2019.910043.