JournalszaaVol. 44, No. 3/4pp. 413–430

On a -integrodifferential problem with Neumann boundary conditions

  • Elhoussine Azroul

    Sidi Mohamed Ben Abdellah University, Fez, Morocco
    ORCID

  • Nezha Kamali

    Sidi Mohamed Ben Abdellah University, Fez, Morocco
    ORCID

  • Maria Alessandra Ragusa

    University of Catania, Italy; Industrial University of Ho Chi Minh City, Vietnam
    ORCID

  • Mohammed Shimi

    Sidi Mohamed Ben Abdellah University, Fez, Morocco
    ORCID
On a $p(x,.)$-integrodifferential problem with Neumann boundary conditions cover
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Abstract

This study examines a class of a bi-nonlocal problem involving a generalized integro-differential operator of elliptic type, characterized by a singular kernel, with nonlocal nonlinear Neumann boundary conditions. We establish the existence of infinitely many solutions in a general fractional Sobolev space with variable exponent.

Cite this article

Elhoussine Azroul, Nezha Kamali, Maria Alessandra Ragusa, Mohammed Shimi, On a -integrodifferential problem with Neumann boundary conditions. Z. Anal. Anwend. 44 (2025), no. 3/4, pp. 413–430

DOI 10.4171/ZAA/1780