Semilinear elliptic equations and fixed points

被引：4

作者：

Barroso, CS ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 03期

关键词：

semilinear elliptic equations; fixed point theorem; Krasnoselskii;

D O I：

10.1090/S0002-9939-04-07718-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with a class of semilinear elliptic equations in a bounded domain Omega subset of R-N, N greater than or equal to 3, with C-1,C-1 boundary. Using a new fixed point result of the Krasnoselskii type for the sum of two operators, an existence principle of strong solutions is proved. We give two examples where the nonlinearity can be critical.

引用

页码：745 / 749

页数：5

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