%0 Journal Article
%T Existence of Solutions for Some <i>p</i>(<i>x</i>)-polyharmonic Elliptic Kirchhoff Equations
%A Yijian Ge
%J Advances in Pure Mathematics
%P 863-878
%@ 2160-0384
%D 2019
%I Scientific Research Publishing
%R 10.4236/apm.2019.910043
%X In this paper, we study the existence of solution for some <span style=\"white-space:nowrap;\">&lt;i&gt;p&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;)</span>-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.
%K &lt
%K i&gt
%K p&lt
%K /i&gt
%K (&lt
%K i&gt
%K x&lt
%K /i&gt
%K )-polyharmonic Kirchhoff Equations
%K Existence of Solutions
%K Schauder¡¯s Fixed Point Theorem
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=95842