ANTISYMMETRIC SOLUTIONS FOR THE NONLINEAR SCHRODINGER EQUATION

作者：Carvalho Janete S^*; Maia Liliane A; Miyagaki Olimpio H

来源：Differential and Integral Equations, 2011, 24(1-2): 109-134.

In this article, we consider the nonlinear Schrodinger equation
-Delta u + V(x)u = vertical bar u vertical bar(p-1) u in R(N) (0.1)
Here V is invariant under an orthogonal involution. The basic tool employed here is the concentration-compactness principle. A theorem on existence of a solution which changes sign exactly once is given.

• 出版日期2011-2