Existence and multiplicity of solutions for fractional $ p(x) $-Kirchhoff-type problems

In this paper, we deal with the existence and multiplicity of solutions for fractional $ p(x) $-Kirchhoff-type problems as follows: $ \left\{ \begin{array}{l}M\Big(\int_Q\frac{1}{p(x, y)}\frac{| v(x)-v(y)|^{p(x, y)}}{| x-y|^{d+sp(x, y)}}dxdy\Big)(-\Delta_{p(x)})^s v(x)\ \, \, \, \, \, \, \,\\...

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Bibliographic Details

Published in:	Electronic Research Archive
Main Authors:	Zhiwei Hao, Huiqin Zheng
Format:	Article
Language:	English
Published:	AIMS Press 2023-04-01
Subjects:	the symmetryic mountain pass theorem kirchhoff-type problem fractional $ p(x) $-laplacian fractional sobolev space with variable exponents
Online Access:	https://www.aimspress.com/article/doi/10.3934/era.2023167?viewType=HTML