蜕化p-Laplace方程无穷多解的存在性  

The existence of multipe solutions to a degenerate p-Laplace equation

作　　者：陈少英[1] 黄浩锋[2] 

机构地区：[1]五邑大学数理系,广东江门529000 [2]华南师范大学增城学院,广东广州511363

出　　处：《仲恺农业技术学院学报》2007年第4期25-29,共5页Journal of Zhongkai Agrotechnical College

摘　　要：研究了一类在无穷远处具超线性条件的蜕化p-Laplace方程无穷多解的存在性.由于没有假设A-R条件,不能像通常那样得到(PS)c条件,为此证明其满足Cerami条件,再利用对称山路引理,得到了无穷多解的存在性.The existence of multiple solutions to a degenerate p-Laplace equation with superlinear term at infinity was studied. In this case, without the well-known Ambrosetti-Rabinowtz type condition, it was difficult to verify the classical （PS）c condition. To overcome this difficulty, an equivalent version of Cerami＇ s condition was used, then the existence of infinite solution was proved by utilizing Symmetric mountain pass lemma.

关 键 词：CERAMI条件 对称山路引理 紧嵌入定理 

分 类 号：O175.25[理学—数学]