In this paper we study the number of the boundary single peak solutions of the problem, small and p subcritical. Under some suitable assumptions on the shape of the boundary near a critical point of the mean curvature, we are able to prove exact multiplicity results. Note that the degeneracy of the critical point is allowed. © 2012 Springer-Verlag Berlin Heidelberg.
Exact multiplicity results for a singularly perturbed Neumann problem / Grossi, Massimo; Sergio L. N., Neves. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 48:3-4(2013), pp. 713-737. [10.1007/s00526-012-0569-1]
Exact multiplicity results for a singularly perturbed Neumann problem
GROSSI, Massimo;
2013
Abstract
In this paper we study the number of the boundary single peak solutions of the problem, small and p subcritical. Under some suitable assumptions on the shape of the boundary near a critical point of the mean curvature, we are able to prove exact multiplicity results. Note that the degeneracy of the critical point is allowed. © 2012 Springer-Verlag Berlin Heidelberg.File allegati a questo prodotto
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