|
|||||
|
|
Increasing radial solutions for Neumann problems without growth restrictions |
|
| Authors: | Denis Bonheure Benedetta Noris Tobias Weth |
| Institution: | 1. Département de Mathématique, Université libre de Bruxelles, CP 214, Boulevard du Triomphe, B-1050 Bruxelles, Belgium;2. Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca, via Bicocca degli Arcimboldi 8, 20126 Milano, Italy;3. Institut für Mathematik, Goethe-Universität Frankfurt, Robert-Mayer-Str. 10, 60054 Frankfurt, Germany |
| Abstract: | 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 H1(B). |
| Keywords: | Supercritical problems Krasnosel?ski? fixed point Invariant cone Gradient flow |
| 本文献已被 ScienceDirect 等数据库收录！ | |