An Orlicz-space approach to superlinear elliptic systems

被引：70

作者：

de Figueiredo, DG ^{[1
]}

do O, JM

Ruf, B

机构：

[1] Univ Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil

[2] Univ Fed Paraiba, Dept Matemat, BR-58059900 Joao Pessoa, Paraiba, Brazil

[3] Univ Milan, Dipartimento Fis, I-20133 Milan, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 224卷 / 02期

关键词：

elliptic system; critical growth; Orlicz space; variational methods;

D O I：

10.1016/j.jfa.2004.09.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study superlinear elliptic systems in Hamiltonian form. Using an Orlicz-space setting, we extend the notion of critical growth to superlinear nonlinearities which do not have a polynomial growth. Existence of nontrivial solutions is proved for superlinear nonlinearities which are subcritical in this generalized sense. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：471 / 496

页数：26

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