一类具有不定权值和无流边界条件的p(z)-双调和Kirchhoff型问题

IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Mouad Allalou, Mohamed El Ouaarabi, Abderrahmane Raji
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引用次数: 0

摘要

本文研究了一类四阶变指数Kirchhoff型问题的弱解的存在性,该问题涉及不确定权值的p(z)-双调和算子,无通量边界条件。存在性结果的证明依赖于对非线性算子\((\mathfrak {O},\mathfrak {S})\)采用fredholm型结果的概念,并结合变指数Sobolev空间理论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On a Class of p(z)-Biharmonic Kirchhoff Type Problems with Indefinite Weight and No-Flow Boundary Condition

In this paper we study the existence of weak solutions for a fourth order variable exponent Kirchhoff type problem involving p(z)-biharmonic operator with indefinite weight and no flux boundary condition. The proof of the existence result relies on employing the concept of a Fredholm-type results for a pair of nonlinear operators \((\mathfrak {O},\mathfrak {S})\), in conjunction with the theory of variable exponent Sobolev spaces.

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来源期刊
CiteScore
4.00
自引率
5.90%
发文量
122
审稿时长
>12 weeks
期刊介绍: The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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