Mean curvature and least energy solutions for the critical Neumann problem with weight

Chabrowski, J.

Bollettino dell'Unione Matematica Italiana, Tome 5-A (2002), p. 715-733 / Harvested from Biblioteca Digitale Italiana di Matematica

Abstract

In this paper we consider the Neumann problem involving a critical Sobolev exponent. We investigate a combined effect of the coefficient of the critical Sobolev nonlinearity and the mean curvature on the existence and nonexistence of solutions.

Résumé

In questo articolo consideriamo il problema di Neumann che richiede un'esponente di Sobolev critico. Noi investighiamo l'effetto combinato del coefficiente della non linearità critica e della curvatura media della frontiera sull'esistenza e sull'inesistenza di soluzioni.

Détail

Publié le : 2002-10-01

MR 1934376 | Zbl 1097.35046

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