Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-05-29 DOI:10.1186/s13661-024-01877-9

Tahar Bouali, Rafik Guefaifia, Salah Boulaaras

引用次数: 0

Abstract

In this paper, we analyze the existence of solutions to a double-phase fractional equation of the Kirchhoff type in Musielak-Orlicz Sobolev space with variable exponents. Our approach is mainly based on the sub-supersolution method and the mountain pass theorem.

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Musielak-Orlicz Sobolev 空间中的分数双相非局部方程

本文分析了 Musielak-Orlicz Sobolev 空间中具有可变指数的基尔霍夫型双相分式方程解的存在性。我们的方法主要基于子超解法和山口定理。

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

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.