一个Quantitative形变引理及其应用

A Variant of Quantitative Deformation Lemma and Its Applications

给出一个关于弱紧性条件的形变引理，并利用该引理导出山路引理及其推广形式。

A variant of quantitative deformation lemma, which is independent of the weak (PS) condition, is given and proved.Then using this lemma, restructures the Mountain Pass theorem and its generalizations.Moreover,it is applied to a semilinear elliptic equation at resonance.