Variable exponent $p(\cdot)$-Kirchhoff type problem with convection in variable exponent Sobolev spaces

IF 0.4 Q4 MATHEMATICS
Hasnae El Hammar, Mohamed El Ouaarabi, C. Allalou, S. Melliani
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引用次数: 1

Abstract

We establish the existence of weak solution for a class of $p(x)$-Kirchhoff type problem for the $p(x)$-Laplacian-like operators with Dirichlet boundary condition and with gradient dependence (convection) in the reaction term. Our result is obtained using the topological degree for a class of demicontinuous operators of generalized $(S_{+})$ type and the theory of the variable exponent Sobolev spaces. Our results extend and generalize several corresponding results from the existing literature.
变指数Sobolev空间中的变指数$p(\cdot)$-Kirchhoff型对流问题
建立了一类具有Dirichlet边界条件和反应项中梯度依赖(对流)的类$p(x)$- laplacian算子的$p(x)$-Kirchhoff型问题弱解的存在性。利用广义$(S_{+})$型半连续算子的拓扑度和变指数Sobolev空间理论,得到了我们的结果。我们的结果扩展和推广了现有文献的几个相应结果。
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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
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