Existence of Positive Solutions for a Class of Boundary Value Problems with p-Laplacian in Banach Spaces

摘要

Weakly sufficient conditions that guarantee the existence of positive bounded solutions are obtained for the equation: (phi(p) (u'(t)))' + f(u(t)) = theta, 0 & t & 1, subject to bounded conditions, by a simple application of a recent theoretical result for sum of two operators. The nonlinearity f takes values in a general Banach space.