A sharp existence and localization theorem for a Neumann problem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A sharp existence and localization theorem for a Neumann problem

Authors:	A. Iannizzotto

Affiliation:	(1) Department of Mathematics, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

Abstract:	We shall present a new version of a recently appeared theorem for theexistence and localization of solutions of the Neumann problemassociated to the equation $-u^{primeprime} + u = beta(t)g(u)$ , based on a generalvariational principle by Ricceri. Our study will be especially aimed toexpress a certain hypothesis regarding the function g in itssharpest form, and a limit case is enquired by an approximationReceived: 7 July 2003

Keywords:	34B15.
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