Existence of solution for a nonlocal elliptic problem with a Robin-type data

Debajyoti Choudhuri; Rana Alkhal; Kamel Saoudi

doi:10.1080/17476933.2024.2310225

Existence of solution for a nonlocal elliptic problem with a Robin-type data

Debajyoti Choudhuri
, Rana Alkhal
, Kamel Saoudi^*

^*Corresponding author for this work

Mathematics Department

Indian Institute of Technology Bhubaneswar

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this work is to study the elliptic problem: (Formula presented.) under some conditions on the nonlinearity f. Here (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.). We will prove the existence of at least one solution using the variational principle and the Mountain pass theorem.

Original language	English
Pages (from-to)	399-411
Number of pages	13
Journal	Complex Variables and Elliptic Equations
Volume	70
Issue number	3
DOIs	https://doi.org/10.1080/17476933.2024.2310225
State	Published - 2025

Keywords

Variational principle
fractional p-laplacian
mountain pass theorem
singularity

Access to Document

10.1080/17476933.2024.2310225

Cite this

@article{83c3e48fa30b42ff9ce305f3153ad679,

title = "Existence of solution for a nonlocal elliptic problem with a Robin-type data",

abstract = "The aim of this work is to study the elliptic problem: (Formula presented.) under some conditions on the nonlinearity f. Here (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.). We will prove the existence of at least one solution using the variational principle and the Mountain pass theorem.",

keywords = "Variational principle, fractional p-laplacian, mountain pass theorem, singularity",

author = "Debajyoti Choudhuri and Rana Alkhal and Kamel Saoudi",

note = "Publisher Copyright: {\textcopyright} 2024 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2025",

doi = "10.1080/17476933.2024.2310225",

language = "English",

volume = "70",

pages = "399--411",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

number = "3",

}

TY - JOUR

T1 - Existence of solution for a nonlocal elliptic problem with a Robin-type data

AU - Choudhuri, Debajyoti

AU - Alkhal, Rana

AU - Saoudi, Kamel

PY - 2025

Y1 - 2025

N2 - The aim of this work is to study the elliptic problem: (Formula presented.) under some conditions on the nonlinearity f. Here (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.). We will prove the existence of at least one solution using the variational principle and the Mountain pass theorem.

AB - The aim of this work is to study the elliptic problem: (Formula presented.) under some conditions on the nonlinearity f. Here (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.). We will prove the existence of at least one solution using the variational principle and the Mountain pass theorem.

KW - Variational principle

KW - fractional p-laplacian

KW - mountain pass theorem

KW - singularity

UR - https://www.scopus.com/pages/publications/85186464669

U2 - 10.1080/17476933.2024.2310225

DO - 10.1080/17476933.2024.2310225

M3 - Article

AN - SCOPUS:85186464669

SN - 1747-6933

VL - 70

SP - 399

EP - 411

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 3

ER -

Existence of solution for a nonlocal elliptic problem with a Robin-type data

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this