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.
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页码：703 / 718
页数：16
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