Strict convexity of level sets of solutions of some nonlinear elliptic equations

Gladiali, Francesca Maria and Grossi, Massimo (2004) Strict convexity of level sets of solutions of some nonlinear elliptic equations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 134 (2), p. 363-373. eISSN 1473-7124. Article.

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DOI: 10.1017/S0308210500003255

Abstract

In this paper we study the convexity of the level sets of solutions of the problem where f is a suitable function with subcritical or critical growth. Under some assumptions on the Gauss curvature of ∂Ω, we prove that the level sets of the solution of (0.1) are strictly convex.

Item Type:	Article
ID Code:	4745
Status:	Published
Refereed:	Yes
Subjects:	Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Divisions:	001 Università di Sassari > 03 Istituti > Matematica e fisica
Publisher:	Cambridge University Press
eISSN:	1473-7124
Copyright Holders:	© 2004 The Royal Society of Edinburgh
Deposited On:	29 Oct 2010 13:32

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