Multi-layer radial solutions for a supercritical neumann problem
Analysis of PDEs
2015-08-10 v1
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 .
Keywords
Cite
@article{arxiv.1508.01619,
title = {Multi-layer radial solutions for a supercritical neumann problem},
author = {Denis Bonheure and Massimo Grossi and Benedetta Noris and Susanna Terracini},
journal= {arXiv preprint arXiv:1508.01619},
year = {2015}
}