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Adams, R.A. and Fournier, J.J.F. (2003) Sobolev Spaces. In: Pure and Applied Mathematics, 2nd Edition, Springer, Amsterdam.

has been cited by the following article:

• 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.