期刊
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
卷 25, 期 1, 页码 3-21出版社
JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
DOI: 10.12775/TMNA.2005.001
关键词
semilinear Schrodinger equation; critical Sobolev exponent; magnetic field; linking
类别
We consider the semilinear Schrodinger equation -Delta(A)u + V(x)u = Q(x)vertical bar u vertical bar(2* -2) u. Assuming that V changes sign, we establish the existence of a solution u not equal 0 in the Sobolev space H-A,V(1) + (R-N). The solution is obtained by a min-max type argument based on a topological linking. We also establish certain regularity properties of solutions for a rather general class of equations involving the operator -Delta(A).
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