scholarly journals Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p-Laplacian operator

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Xinan Hao ◽  
Huaqing Wang ◽  
Lishan Liu ◽  
Yujun Cui
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Laplacian Operator ◽  
Nonlocal Boundary Value Problems

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

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 680
Author(s):  
Chan-Gyun Kim
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Multiplicity Results ◽  
Asymptotic Behaviors ◽  
Nonlocal Boundary Value Problems ◽  
Strong Singularity ◽  
Existence And Multiplicity ◽  
Caratheodory Condition

In this paper, we study singular φ -Laplacian nonlocal boundary value problems with a nonlinearity which does not satisfy the L 1 -Carathéodory condition. The existence, nonexistence and/or multiplicity results of positive solutions are established under two different asymptotic behaviors of the nonlinearity at ∞.

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