Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces

Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces

Abstract We investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with the eigenvalues and the correspondin...

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Autores principales: Q-Heung Choi, Tacksun Jung
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
Materias:
Fractional N-Laplacian operator
Fractional Orlicz–Sobolev space
Fractional N-Laplacian eigenvalue problem
Jumping nonlinearity
Contraction mapping principle
Leray–Schauder degree theory
Analysis
QA299.6-433
Acceso en línea:https://doaj.org/article/a57fee1a5fc94855afa1b644c03618d6
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spelling oai:doaj.org-article:a57fee1a5fc94855afa1b644c03618d62021-12-05T12:07:29ZFractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces10.1186/s13661-021-01575-w1687-2770https://doaj.org/article/a57fee1a5fc94855afa1b644c03618d62021-12-01T00:00:00Zhttps://doi.org/10.1186/s13661-021-01575-whttps://doaj.org/toc/1687-2770Abstract We investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with the eigenvalues and the corresponding eigenfunctions for the fractional N-Laplacian eigenvalue problem in the fractional Orlicz–Sobolev spaces, the contraction mapping principle on the fractional Orlicz–Sobolev spaces and Leray–Schauder degree theory.Q-Heung ChoiTacksun JungSpringerOpenarticleFractional N-Laplacian operatorFractional Orlicz–Sobolev spaceFractional N-Laplacian eigenvalue problemJumping nonlinearityContraction mapping principleLeray–Schauder degree theoryAnalysisQA299.6-433ENBoundary Value Problems, Vol 2021, Iss 1, Pp 1-27 (2021)
institution DOAJ
collection DOAJ
language EN
topic Fractional N-Laplacian operator
Fractional Orlicz–Sobolev space
Fractional N-Laplacian eigenvalue problem
Jumping nonlinearity
Contraction mapping principle
Leray–Schauder degree theory
Analysis
QA299.6-433
spellingShingle Fractional N-Laplacian operator
Fractional Orlicz–Sobolev space
Fractional N-Laplacian eigenvalue problem
Jumping nonlinearity
Contraction mapping principle
Leray–Schauder degree theory
Analysis
QA299.6-433
Q-Heung Choi
Tacksun Jung
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces
description Abstract We investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with the eigenvalues and the corresponding eigenfunctions for the fractional N-Laplacian eigenvalue problem in the fractional Orlicz–Sobolev spaces, the contraction mapping principle on the fractional Orlicz–Sobolev spaces and Leray–Schauder degree theory.
format article
author Q-Heung Choi
Tacksun Jung
author_facet Q-Heung Choi
Tacksun Jung
author_sort Q-Heung Choi
title Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces
title_short Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces
title_full Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces
title_fullStr Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces
title_full_unstemmed Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces
title_sort fractional n-laplacian boundary value problems with jumping nonlinearities in the fractional orlicz–sobolev spaces
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/a57fee1a5fc94855afa1b644c03618d6
work_keys_str_mv AT qheungchoi fractionalnlaplacianboundaryvalueproblemswithjumpingnonlinearitiesinthefractionalorliczsobolevspaces
AT tacksunjung fractionalnlaplacianboundaryvalueproblemswithjumpingnonlinearitiesinthefractionalorliczsobolevspaces
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