@Article{JPDE-36-203,
author = {Ouaarabi , Mohamed ElAllalou , Chakir and Melliani , Said},
title = {Existence of Weak Solution for $p(x)$-Kirchhoff Type Problem Involving the $p(x)$-Laplacian-like Operator by Topological Degree},
journal = {Journal of Partial Differential Equations},
year = {2023},
volume = {36},
number = {2},
pages = {203--219},
abstract = {<p style="text-align: justify;">In this paper, we study the existence of &quot;weak solution&quot; for a class of $p(x)$-Kirchhoff type problem involving the $p(x)$-Laplacian-like operator depending on two
real parameters with Neumann boundary condition. Using a topological degree for
a class of demicontinuous operator of generalized $(S_+)$ type and the theory of the
variable exponent Sobolev space, we establish the existence of &quot;weak solution&quot; of this
problem.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v36.n2.5},
url = {http://global-sci.org/intro/article_detail/jpde/21829.html}
}