@Article{JPDE-36-2,
author = {Chakir, Allalou and Ouaarabi, Mohamed, El and Said, Melliani and Chakir, Allalou and Said, Melliani},
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 = {https://global-sci.com/article/88082/existence-of-weak-solution-for-px-kirchhoff-type-problem-involving-the-px-laplacian-like-operator-by-topological-degree}
}