Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem

被引：5

作者：

Ben Mabrouk, Anouar ^{[1
]}

Ben Mohamed, Mohamed Lakdar ^{[1
]}

机构：

[1] Fac Sci, Dept Math, Computat Math Lab, Monastir 5019, Tunisia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期

关键词：

Brezis-Nirenberg problems; Emden-Fowler transform; Energy functional; Pohozhaev identity; NODAL SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.na.2007.11.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some mixed sublinear-superlinear critical problem extending the famous problem of Brezis-Nirenberg are analysed. The existence of solutions is discussed. A phase plane analysis is performed in order to transform the problem into an ordinary differential equation. Finally, a full classification of radial solutions according to their behavior at the origin is performed for subcritical, critical and supercritical cases. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1 / 15

页数：15

共 13 条

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