Radial solutions concentrating on spheres of nonlinear Schrodinger equations with vanishing potentials

被引：28

作者：

Ambrosetti, A. ^{[1
]}

Ruiz, D. ^{[1
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2006年 / 136卷

关键词：

D O I：

10.1017/S0308210500004789

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of radial solutions of -epsilon(2) Delta u + V(vertical bar x vertical bar)u = u(p), x is an element of R-n, u is an element of W-1,W-2(R-n), u > 0, concentrating on a sphere for potentials which might be zero and might decay to zero at infinity. The proofs use a perturbation technique in a variational setting, through a Lyapunov-Schmidt reduction.

引用

页码：889 / 907

页数：19

共 13 条

[1]

Ambrosetti A, 2005, J EUR MATH SOC, V7, P117

[2] Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, part I [J].