Increasing radial solutions for Neumann problems without growth restrictions

被引：47

作者：

Bonheure, Denis ^{[1
]}

Noris, Benedetta ^{[2
]}

Weth, Tobias ^{[3
]}

机构：

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

[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20126 Milan, Italy

[3] Goethe Univ Frankfurt, Inst Math, D-60054 Frankfurt, Germany

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2012年 / 29卷 / 04期

关键词：

Supercritical problems; Krasnosel'skii fixed point; Invariant cone; Gradient flow;

D O I：

10.1016/j.anihpc.2012.02.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of positive increasing radial solutions for superlinear Neumann problems in the ball. We do not impose any growth condition on the nonlinearity at infinity and our assumptions allow for interactions with the spectrum. In our approach we use both topological and variational arguments, and we overcome the lack of compactness by considering the cone of nonnegative, nondecreasing radial functions of H-1 (B). (C) 2012 Elsevier Masson SAS. All rights reserved.

引用

页码：573 / 588

页数：16

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