In this paper we study the Neumann problem. {-δu + u = u^p in B1 u > 0 in B1 ∂νu = 0 on ∂ B1, and we show the existence of multiple-layer radial solutions as p → + ∞.
Multi-layer radial solutions for a supercritical Neumann problem
TERRACINI, Susanna
2016-01-01
Abstract
In this paper we study the Neumann problem. {-δu + u = u^p in B1 u > 0 in B1 ∂νu = 0 on ∂ B1, and we show the existence of multiple-layer radial solutions as p → + ∞.
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