On a singular discontinuous elliptic problem involving the fractional p-Laplacian operator

Jiabin Zuo; Ouaarabi El

doi:10.2298/fil2523047z

January 1, 2025FilomatOpen Access

On a singular discontinuous elliptic problem involving the fractional p-Laplacian operator

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Key Points

The research aims to explore the existence of weak solutions for a singular elliptic problem involving the fractional p-Laplacian operator.
Studied a singular, discontinuous elliptic problem.
Utilized a Dirichlet boundary condition.
Employed fractional Sobolev spaces for analysis.
Applied topological degree theory to establish existence results.
Weak solutions were successfully established under suitable conditions.
Existence of solutions is tied to the properties of the fractional p-Laplacian.

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Implication

Article examines weak solutions of a singular elliptic problem in fractional Sobolev spaces, indicating practical existence conditions.

Abstract

The purpose of this article is to study a singular, discontinuous elliptic problem involving the fractional p-Laplace operator with a Dirichlet boundary condition in the context of fractional Sobolev spaces. Under suitable conditions, the existence of weak solutions to the problem is established via topological degree theory.

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Cite This Study

Zuo et al. (2025) studied this question.

synapsesocial.com/papers/69cf5ede5a333a821460d801 https://doi.org/10.2298/fil2523047z

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On a singular discontinuous elliptic problem involving the fractional p-Laplacian operator

Key Points

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Implication

Abstract

Discussion

Cite This Study

On a singular discontinuous elliptic problem involving the fractional p-Laplacian operator

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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