It is demonstrated that -convex functionals are a class of very univer sal nonlinear functionals. Two basic forms of the resonance theorem are set up f or a family of -convex functionals on a second category -normed space.

• 文章首先说明-凸泛函是一类非常具有普遍性的非线性泛函，接着在第二纲的赋-范空 间上，对-凸泛函族，建立起共鸣定理的两种基本形式.