摘要

We consider the two-point boundary-value system -u ''(i) + u(i) is an element of lambda partial derivative(ui) F(u(1), ..., u(n)) + mu partial derivative(ui) G(u(1), ..., u(n)), u'(i)(a) = u'(i)(b) = 0 u(i) >= 0, 1 <= i <= n. Applying a version of nonsmooth three critical points theorem, we show the existence of at least three positive solutions.