无界域上带限制的非线性椭圆特征问题的多解和变号解  

Multiple and Sign-changing Solutions for Nonlinear Elliptic Eigenvalue Problem with Constraint on Unbounded Domain

作　　者：金云娟[1] 

机构地区：[1]丽水学院数理学院

出　　处：《丽水学院学报》2008年第5期1-4,共4页Journal of Lishui University

基　　金：丽水学院科研资助项目(KY07042)

摘　　要：在径向对称的Sobolev空间中,利用约束变分方法,通过构造切伪梯度向量场,证明了无界区域上带限制的非线性椭圆特征问题正解、负解及变号解的存在性。In this paper, we prove the existence of positive, negative and sign--changing solutions for a nonlinear elliptic eigenvalue problem with constraint on unbounded domain by using variational methods with constraint and by constructing tangent pseudogradient veetor field on radial symmetric Sobolev space.

关 键 词：无界域 限制 变号解 

分 类 号：O175.25[理学—数学]