On a singular p(x, <middle dot>)-integro-differential elliptic problem

被引：0

作者：

Azroul, E. ^{[1
]}

Kamali, N. ^{[1
]}

Shimi, M. ^{[2
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Lab Math Anal & Applicat, Fac Sci Dhar el Mahraz, Fes, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, ENS Fez, Lab Math Anal & Applicat, Fes, Morocco

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2024年 / 15卷 / 03期

关键词：

Nehari manifold approach; Generalized fractional Sobolev space; Singular problem; Integrodifferential operator; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; EQUATION; LAPLACIAN; EXISTENCE;

D O I：

10.1007/s11868-024-00626-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper aims to establish the existence of at least two weak solutions of a nonlocal singular problem governed by a generalized integro-differential operator with singular kernel in a bounded domain Omega of R-N with Lipschitz boundary. The main variational tool is based on the Nehari manifold approach and the fibering maps analysis. Moreover, we state and prove two embedding results of the generalized fractional Sobolev spaces into generalized weighted Lebesgue spaces, which serve as pivotal components in our principal proof.

引用

页数：24

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