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arXiv · 1508.01619

Multi-layer radial solutions for a supercritical neumann problem

Denis Bonheure·Massimo Grossi·Benedetta Noris·Susanna Terracini
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Abstract

In this paper we study the Neumann problem\begin{equation*}\begin{cases}-\Delta u+u=u^p \& \text{ in }B\_1 \\u \textgreater{} 0, \& \text{ in }B\_1 \\\partial\_\nu u=0 \& \text{ on } \partial B\_1,\end{cases}\end{equation*}and we show the existence of multiple-layer radial solutions as $p\rightarrow+\infty$.

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Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna Terracini. 2015-08-07. Multi-layer radial solutions for a supercritical neumann problem. https://arxiv.org/abs/1508.01619

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