A p(x)-Kirchhoff Type Problem Involving the p(x)-Laplacian-Like Operators With Dirichlet Boundary Condition
DOI:
https://doi.org/10.24193/subbmath.2024.2.07Keywords:
p(x)-Kirchhoff type problems, p(x)-Laplacian-like operators, weak solutions, variable exponent Sobolev spacesAbstract
This paper deals with a class of p(x)-Kirchhoff type problems involving the p(x)-Laplacian-like operators, arising from the capillarity phenomena, depending on two real parameters with Dirichlet boundary conditions. Using a topological degree for a class of demicontinuous operators of generalized (S+), we prove the existence of weak solutions of this problem. Our results extend and generalize several corresponding results from the existing literature.
Mathematics Subject Classification (2010): 35J60, 35J70, 35D30, 47H11.
Received 23 February 2022; Accepted 18 March 2022.
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