期刊
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
卷 18, 期 2, 页码 207-219出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-002-0191-8
关键词
-
For elliptic equations of the form Deltau-V(epsilonx)u + f (u) = 0, x is an element of R-N, where the potential V satisfies (\x\ -->infinity) V(x) > inf(RN)V (x) = 0, we develop a new variational approach to construct localized bound state solutions concentrating at an isolated component of the local minimum of V where the minimum value of V can be positive or zero. These solutions give rise to standing wave solutions having a critical frequency for the corresponding nonlinear Schrodinger equations. Our method allows a fairly general class of nonlinearity f(u) including ones without any growth restrictions at large.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据