Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth

被引：15

作者：

Grossi, M

Magrone, P

Matzeu, M

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2001年 / 7卷 / 04期

关键词：

critical exponent; linking type critical points; potential changing sign;

D O I：

10.3934/dcds.2001.7.703

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we state some existence results for the semilinear elliptic equation -Deltau(x) - lambdau(x) = W(x)f(u) where W(x) is a function possibly changing sign, f has a superlinear growth and lambda is a positive real parameter. We discuss both the cases of subcritical and critical growth for f, and prove the existence of Linking type solutions.

引用

页码：703 / 718

页数：16

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