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.
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 |
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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 |
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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 |
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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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