Multi-layer radial solutions for a supercritical neumann problem

2015/08/07 by Bonheure, Denis, Grossi, Massimo, Noris, Benedetta +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.01619

Abstract

In this paper we study the Neumann problem\begincases-Δu+u=u^p & in B_1
u \textgreater 0, & in B_1
∂_νu=0 & on ∂ B_1,\endcasesand we show the existence of multiple-layer radial solutions as p→+∞.

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