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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Bibliographic Details
Main Authors: Q-Heung Choi, Tacksun Jung
Format: Article
Language:English
Published: SpringerOpen 2021-12-01
Series:Boundary Value Problems
Subjects:
Fractional N-Laplacian operator
Fractional Orlicz–Sobolev space
Fractional N-Laplacian eigenvalue problem
Jumping nonlinearity
Contraction mapping principle
Leray–Schauder degree theory
Online Access:https://doi.org/10.1186/s13661-021-01575-w

Internet

https://doi.org/10.1186/s13661-021-01575-w

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