Geodesic
Costruzione di spike-layers multidimensionali
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 615-628.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Si studiano soluzioni positive dell’equazione $-\epsilon^{2} \Delta u+u=u^p$ in $\Omega$, dove $\Omega\subseteq \mathbb{R}^{n}$ , $p > 1$ ed $\epsilon$ è un piccolo parametro positivo. Si impongono in genere condizioni al bordo di Neumann. Quando $\epsilon$ tende a zero, dimostriamo esistenza di soluzioni che si concentrano su curve o varietà.
We study positive solutions of the equation $-\epsilon^{2} \Delta u+u=u^p$ in $\Omega$, where $\Omega\subseteq \mathbb{R}^{n}$ , $p>1$ and $\epsilon$ is a positive small parameter. Usually we put Neumann boundary conditions. When $\epsilon$ goes to zero, we prove the existence of solutions which concentrate on curves or varietis. 
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Malchiodi, Andrea. Costruzione di spike-layers multidimensionali. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 615-628. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a5/

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