Abstract
This paper is concerned with the existence of "weak solution" for a Dirichlet boundary value problems involving the p(x)-Laplacian operator depending on three real parameters. The proof of the main result is constructed by utilizing the topological degree for a class of demicontinuous operators of generalized \((S_{+})\) type and the theory of variable-exponent Sobolev spaces.
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El Ouaarabi, M., Allalou, C. & Melliani, S. Existence of weak solution for a class of p(x)-Laplacian problems depending on three real parameters with Dirichlet condition. Bol. Soc. Mat. Mex. 28, 31 (2022). https://doi.org/10.1007/s40590-022-00427-6
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DOI: https://doi.org/10.1007/s40590-022-00427-6
Keywords
- p(x)-Laplacian operator
- Dirichlet boundary value problems
- Hammerstein equation
- Variable-exponent Sobolev spaces
- Topological degree methods