MULTIPLE HOMOCLINIC ORBITS FOR AUTONOMOUS, SINGULAR POTENTIALS

被引：14

作者：

BESSI, U

机构：

[1] Scuola Normale Superiore, Pisa

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1994年 / 124卷

关键词：

D O I：

10.1017/S0308210500028651

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem [GRAPHICS] where u is-an-element-of R(n), n greater-than-or-equal-to 2, and V is-an-element-of C2(R(n)/e, R) is a potential having an absolute maximum at 0 and such that V(x) --> - infinity as x --> e. We prove that, under some conditions on V, this problem has at least n - 1 geometrically distinct solutions.

引用

页码：785 / 802

页数：18

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