Multiple solutions for elliptic equations at resonance

被引：3

作者：

Pisani, L ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2001年 / 8卷 / 04期

关键词：

asymptotically linear elliptic equations; resonance at infinity; multiple solutions; critical points of even functionals;

D O I：

10.1007/PL00001454

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an asymptotically linear elliptic equation at resonance, with an odd nonlinearity. By a penalization technique and suitable min-max theorems (which give Morse index estimates), we prove the existence of N-1 pairs of non trivial solutions, where N is, roughly speaking, the difference between the Morse indexes at zero and at infinity.

引用

页码：389 / 398

页数：10

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