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

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Youssef Fadil
Said Ait Temghart
Chakir Allalou
Mohamed Oukessou

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.

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How to Cite
Fadil, Y., Temghart, S. A., Allalou, C., & Oukessou, M. (2024). Existence of weak solutions for a class of (p(u),q(u))-Laplacian problems. Gulf Journal of Mathematics, 17(1), 261-274. https://doi.org/10.56947/gjom.v17i1.2098
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