Positive solutions for the one-dimensional \(p\)-Laplacian. (English) Zbl 0815.34015
The two point boundary value problem \((\varphi_ p(u'))' + f(t,u) = 0\), \(u(a) = 0 = u(b)\), where \(\varphi_ p (s) = | s |^{p-2} s\) and \((\varphi_ p (u'))'\) is one dimensional \(p\)-Laplacian, \(p>1\), is considered. The question of existence of positive solutions for the above boundary value problem is discussed in the paper.
Reviewer: V.Sree Hari Rao (Hyderabad)
MSC:
34B15 | Nonlinear boundary value problems for ordinary differential equations |