Weak solutions for double phase problem driven by the (p(x),q(x))-Laplacian operator under Dirichlet boundary conditions

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI:10.5269/bspm.62182
Mohamed El Ouaarabi, C. Allalou, S. Melliani
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引用次数: 2

Abstract

In the present paper, in view of the topological degree methods and the theory of the variable exponent Sobolev spaces, we discuss a Dirichlet boundary value problem for elliptic equations involving the $(p(x),q(x))$-Laplacian operator with a reaction term depending on the gradient and on two real parameters. Under certain assumptions, we establish the existence of at least one weak solution to this problem. Our results extends some recent work in the literature.
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Dirichlet边界条件下(p(x),q(x))-拉普拉斯算子驱动双相问题的弱解
本文从拓扑度方法和变指数Sobolev空间理论出发,讨论了一类含有$(p(x),q(x))$-拉普拉斯算子的椭圆型方程的Dirichlet边值问题,该算子的反应项依赖于梯度和两个实参数。在一定的假设条件下,我们建立了这个问题的至少一个弱解的存在性。我们的研究结果扩展了最近文献中的一些工作。
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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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
期刊最新文献
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