Abstract
An integral inequality is deduced from the negation of the geometrical condition in the bounded mountain pass theorem of Schechter, in a situation where this theorem does not apply. Also two localization results of non-zero solutions to a superlinear boundary value problem are established.
Authors
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Integral inequality, Mountain pass theorem, Laplacean, Boundary value problem, Sobolev space.
Paper coordinates
Radu Precup, An inequality wich arises in the absence of the mountain pass geometry, Journal of Inequalities in Pure and Applied Mathematics http://jipam.vu.edu.au/ Volume 3, Issue 3, Article 32, 2002
About this paper
Journal
Journal of Inequalities in Pure and Applied Mathematics
Publisher Name
DOI
Print ISSN
14435756
Online ISSN
MR 1917791, Zbl 1010.26013
google scholar link
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