一个Quantitative形变引理及其应用  

A Variant of Quantitative Deformation Lemma and Its Applications

作　　者：陈建清[1] 李永青[1] 

机构地区：[1]福建师范大学数学系,福州350007

出　　处：《福建师范大学学报（自然科学版）》1999年第3期6-10,25,共6页Journal of Fujian Normal University：Natural Science Edition

摘　　要：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.

关 键 词：形变引理 弱紧性条件 临界点 椭圆型方程 

分 类 号：O177.2[理学—数学] O175.25[理学—基础数学]