Local superlinearity and sublinearity for indefinite semilinear elliptic problems

被引：175

作者：

De Figueiredo, DG

Gossez, JP

Ubilla, P

机构：

[1] Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium

[2] UNICAMP, IMECC, BR-13081970 Campinas, SP, Brazil

[3] Univ Santiago Chile, Dept Matemat, Santiago, Chile

[4] Univ Santiago Chile, CC, Santiago, Chile

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2003年 / 199卷 / 02期

关键词：

superlinearity; sublinearity; indefinite nonlinearity; concave-convex nonlinearity; semilinear elliptic problem;

D O I：

10.1016/S0022-1236(02)00060-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the usual notions of superlinearity and sublinearity for semilinear problems like -Deltau =f (x, u) are given a local form and extended to indefinite nonlinearities. Here f (x, s) is allowed to change sign or to vanish for s near zero as well as for s near infinity. Some of the well-known results of Ambrosetti-Brezis-Cerami are partially extended to this context. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：452 / 467

页数：16

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