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 Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-09-27 DOI:10.1007/s40995-024-01694-w

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。

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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

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

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