Increasing radial solutions for Neumann problems without growth restrictions

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• 作者：Denis Bonheure ; Benedetta Noris ; Tobias Weth
• 关键词：Supercritical problems ; Krasnosel?ski? fixed point ; Invariant cone ; Gradient flow
• 刊名：Annales de l'Institut Henri Poincare (C) Non Linear Analysis
• 出版年：2012
• 出版时间：July-August, 2012
• 年：2012
• 卷：29
• 期：4
• 页码：573-588
• 全文大小：255 K

文摘

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 .