On singular p-Laplacian boundary value problems involving integral boundary conditions

被引:0
|
作者
Dang Dinh Hai [1 ]
Wang, Xiao [1 ]
机构
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
关键词
p-Laplacian; integral boundary conditions; positive solutions; POSITIVE SOLUTIONS; FLOW;
D O I
10.14232/ejqtde.2019.1.90
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the existence of positive solutions for the p-Laplacian equations -(phi(u'))' = lambda f(t,u), t is an element of (0,1) with integral boundary conditions. Here lambda is a positive parameter, phi(s) = vertical bar s vertical bar(P-2)s, p > 1, f : (0,1) x (0, infinity) -> R is p-superlinear or p-sublinear at infinity in the second variable and is allowed be singular at t = 0,1 and u = 0.
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页码:1 / 13
页数:13
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