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.
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Integral inequality, Mountain pass theorem, Laplacean, Boundary value problem, Sobolev space.
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
Journal of Inequalities in Pure and Applied Mathematics
MR 1917791, Zbl 1010.26013
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