Multi-layer radial solutions for a supercritical Neumann problem

In this paper we study the Neumann problem{−Δu+u=upin B1u>0in B1∂νu=0on ∂B1, and we show the existence of multiple-layer radial solutions as p→+∞.

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Bibliographic Details
Published in:Journal of Differential Equations 2016-07, Vol.261 (1), p.455-504
Main Authors: Bonheure, Denis, Grossi, Massimo, Noris, Benedetta, Terracini, Susanna
Format: Article
Language:English
Subjects:
Analysis of PDEs
Mathematics
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Description
Summary:In this paper we study the Neumann problem{−Δu+u=upin B1u>0in B1∂νu=0on ∂B1, and we show the existence of multiple-layer radial solutions as p→+∞.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2016.03.016