Positive and negative solutions of a quasi-linear elliptic equation by a Mountain Pass method and truncature techniques

被引：38

作者：

Girardi, M

Matzeu, M

机构：

[1] Univ Roma Tor Vergata, Dept Mat, I-00133 Rome, Italy

[2] Univ Roma Tor Vergata, Dept Mat, I-00146 Rome, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 1-2期

关键词：

quasilinear elliptic equations; Mountain Pass and iteration methods; truncature techniques;

D O I：

10.1016/j.na.2004.04.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a positive and a negative solution of a problem of the type - Deltau + f(x, u, delu) = 0 in Q. u = 0 on deltaOmega is proved, when f has a growth at infinity depending both on u and on delu. The techniques are based on an iterative scheme of Mountain Pass "approximated" solutions and the use of a suitable truncature method. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：199 / 210

页数：12

共 12 条

[1] SOME EXISTENCE THEOREMS FOR SEMI-LINEAR ELLIPTIC EQUATIONS [J].