An inequality wich arises in the absence of the mountain pass geometry


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.


Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania


Integral inequality, Mountain pass theorem, Laplacean, Boundary value problem, Sobolev space.

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Radu Precup, An inequality wich arises in the absence of the mountain pass geometry, Journal of Inequalities in Pure and Applied Mathematics Volume 3, Issue 3, Article 32, 2002


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Journal of Inequalities in Pure and Applied Mathematics

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MR 1917791, Zbl 1010.26013

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