Work

On a $p(x,.)$-integrodifferential problem with Neumann boundary conditions

Year: 2024

Type: article

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.

Source: Zeitschrift für Analysis und ihre Anwendungen

DOI: 10.4171/zaa/1780

Authors: Elhoussine Azroul, Nezha Kamali, Maria Alessandra Ragusa, Mohammed Shimi

Institutions: Sidi Mohamed Ben Abdellah University, Industrial University of Ho Chi Minh City, University of Catania

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Istituto Nazionale di Alta Matematica "Francesco Severi"

OpenAlex ID: W4403832043

FWCI: 1.562

Cites:

Cited by: 2

Related to: 10