Electron. J. Differential Equations, Vol. 2021 (2021), No. 16, pp. 1-15.

Infinitely many solutions for a nonlocal type problem with sign-changing weight function

Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati, Cesar Torres

Abstract:
In this article, we study the existence of weak solutions for a fractional type problem driven by a nonlocal operator of elliptic type

Our approach is based on critical point theorems and variational methods.

Submitted June 21, 2020. Published March 18, 2021.
Math Subject Classifications: 35R1, 35P30, 35J20, 58E05.
Key Words: Fractional Orlicz-Sobolev spaces; critical point theorems; variational methods.
DOI: https://doi.org/10.58997/ejde.2021.16

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Elhoussine Azroul
Departamento de Matemáticas
Sidi Mohamed Ben Abdellah University
Faculty of Sciences Dhar El Mahraz
Laboratory of Mathematical Analysis and Applications
Fez, Morocco
email: elhoussine.azroul@gmail.com
Abdelmoujib Benkirane
Departamento de Matemáticas
Sidi Mohamed Ben Abdellah University
Faculty of Sciences Dhar El Mahraz
Laboratory of Mathematical Analysis and Applications
Fez, Morocco
email: abd.benkirane@gmail.com
Mohammed Srati
Departamento de Matemáticas
Sidi Mohamed Ben Abdellah University
Faculty of Sciences Dhar El Mahraz
Laboratory of Mathematical Analysis and Applications
Fez, Morocco
email: srati93@gmail.com
C\'esar E. Torres Ledesma
Departamento de Matemáticas
Universidad Nacional de Trujillo
Av. Juan Pablo II s/n. Trujillo, Perú
email: ctl_576@yahoo.es

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