Multiplicity results for p-Laplacian boundary value problem with jumping nonlinearities

Multiplicity results for p-Laplacian boundary value problem with jumping nonlinearities

Abstract We investigate the multiplicity of solutions for one-dimensional p-Laplacian Dirichlet boundary value problem with jumping nonlinearities. We obtain three theorems: The first states that there exists exactly one solution when nonlinearities cross no eigenvalue. The second guarantees that th...

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Bibliographic Details
Main Authors: Tacksun Jung, Q-Heung Choi
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Boundary Value Problems
Subjects:
p-Laplacian problem
p-Laplacian eigenvalue problem
Jumping nonlinearity
Contraction mapping principle
Leray–Schauder degree theory
Online Access:http://link.springer.com/article/10.1186/s13661-019-1165-5

Internet

http://link.springer.com/article/10.1186/s13661-019-1165-5

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