一类 (p(u),q(u))-拉普拉卡问题的弱解的存在性

Gulf Journal of Mathematics Pub Date : 2024-07-10 DOI:10.56947/gjom.v17i1.2098

Youssef Fadil, Said Ait Temghart, C. Allalou, Mohamed Oukessou

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引用次数: 0

摘要

本文研究了 p 和 q 取决于未知解的（p,q）-拉普拉斯问题的弱解的存在性。我们重点研究 p 和 q 是局部量的情况。通过奇异扰动技术，我们证明了某些 Dirichlet 问题的弱解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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Gulf Journal of Mathematics

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