Multi-layer radial solutions for a supercritical Neumann problem
Résumé
In this paper we study the Neumann problem
\begin{equation*}
\begin{cases}
-\Delta u+u=u^p & \text{ in }B_1 \\
u > 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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