Existence of Positive Solutions for Multi-point Semi-positive Boundary Value Problems

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Hua Su
2006 ◽  
Vol 11 (4) ◽  
pp. 323-329 ◽  
Author(s):  
G. A. Afrouzi ◽  
S. H. Rasouli

This study concerns the existence of positive solutions to classes of boundary value problems of the form−∆u = g(x,u), x ∈ Ω,u(x) = 0, x ∈ ∂Ω,where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and connected, and g(x, 0) < 0 for some x ∈ Ω (semipositone problems). By using the method of sub-super solutions we prove the existence of positive solution to special types of g(x,u).


2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Ilkay Yaslan Karaca ◽  
Fatma Tokmak Fen

AbstractThis paper is concerned with the existence of positive solutions of an


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