Radial positive solutions of elliptic systems with Neumann boundary conditions

被引：23

作者：

Bonheure, Denis ^{[1
]}

Serra, Enrico ^{[2
]}

Tilli, Paolo ^{[2
]}

机构：

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

[2] Politecn Torino, Dipartimento Sci Matemat, I-10129 Turin, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 265卷 / 03期

关键词：

Elliptic system; Supercritical growth; Radial solutions; Neumann problem; FIXED-POINTS;

D O I：

10.1016/j.jfa.2013.05.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider radial solutions of elliptic systems of the form [GRAPHICS] where essentially a, b are assumed to be radially nondecreasing weights and f, g are nondecreasing in each component. With few assumptions on the nonlinearities, we prove the existence of at least one couple of nondecreasing nontrivial radial solutions. We emphasize that we do not assume any variational structure nor subcritical growth on the nonlinearities. Our result covers systems with supercritical as well as asymptotically linear nonlinearities. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：375 / 398

页数：24

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