On topological degree for pseudomonotone operators in fractional Orlicz-Sobolev spaces: study of positive solutions of non-local elliptic problems

被引：5

作者：

El-Houari, H. ^{[1
]}

Sabiki, H. ^{[2
]}

Moussa, H. ^{[1
]}

机构：

[1] Fac Sci & Tech Beni Mellal, Lab Rech Math Appl & Calcul Sci, Beni Mellal, Morocco

[2] Univ Sultan Moulay Slimane, MAROC Lab Rech Math Appl Calcul Sci, Ecole Natl Commerce Gest, Beni Mellal, Morocco

来源：

ADVANCES IN OPERATOR THEORY | 2024年 / 9卷 / 02期

关键词：

Fractional Orlicz-Sobolev spaces; Topological Degree; Pseudomonotone operators; Non-local elliptic equation;

D O I：

10.1007/s43036-023-00313-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research, we analyze the existence of infinite sequences of ordered solutions for a class of non-local elliptic problem with Dirichlet boundary condition. The primary techniques employed consist of topological degree theory for mappings of type S+ and minimization arguments in a fractional Orlicz-Sobolev space. Our main results generalize some recent findings in the literature to non-smooth cases.

引用

页数：22

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