Existence and Multiplicity Results for Nonlocal Boundary Value Problems with Strong Singularity

Existence and Multiplicity Results for Nonlocal Boundary Value Problems with Strong Singularity

In this paper, we study singular <inline-formula> <math display="inline"> <semantics> <mi>φ</mi> </semantics> </math> </inline-formula>-Laplacian nonlocal boundary value problems with a nonlinearity which does not satisfy the <inline-formu...

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Bibliographic Details
Main Author: Chan-Gyun Kim
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
multiplicity of positive solutions
sup-multiplicative-like function
singular weight
nonlocal boundary conditions
Online Access:https://www.mdpi.com/2227-7390/8/5/680
Description
Summary:In this paper, we study singular <inline-formula> <math display="inline"> <semantics> <mi>φ</mi> </semantics> </math> </inline-formula>-Laplacian nonlocal boundary value problems with a nonlinearity which does not satisfy the <inline-formula> <math display="inline"> <semantics> <msup> <mi>L</mi> <mn>1</mn> </msup> </semantics> </math> </inline-formula>-Carathéodory condition. The existence, nonexistence and/or multiplicity results of positive solutions are established under two different asymptotic behaviors of the nonlinearity at ∞.
ISSN:2227-7390

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