Existence of weak solutions for a class of (p(u),q(u))-Laplacian problems

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Published: 2024-07-10
DOI: https://doi.org/10.56947/gjom.v17i1.2098
Keywords:
Laplacian, elliptic problems, variable nonlinearity, generalized Sobolev spaces

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Youssef Fadil
Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Techniques, Sultan Moulay Silmane University, Beni Mellal, Morocco
Said Ait Temghart
Laboratory of Computer Systems Engineering, Mathematics and Applications, Ibn Zohr University, Agadir, Morocco
Chakir Allalou
Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Techniques, Sultan Moulay Silmane University, Beni Mellal, Morocco
Mohamed Oukessou
Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Techniques, Sultan Moulay Silmane University, Beni Mellal, Morocco

Abstract

This paper investigates the existence of weak solutions for (p,q)-Laplacian problems where p and q depend on the unknown solution. We focus on the case where p and q are local quantities. By means of a singular perturbation technique, we prove the existence of weak solutions for certain Dirichlet problem.

Article Details

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Vol. 17 No. 1 (2024)

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Articles

How to Cite

Existence of weak solutions for a class of (p(u),q(u))-Laplacian problems. (2024). Gulf Journal of Mathematics, 17(1), 261-274. https://doi.org/10.56947/gjom.v17i1.2098