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Journal of Convex Analysis 19 (2012), No. 4, 1033--1042
Copyright Heldermann Verlag 2012



Perturbation Method for Variational Problems

Milen Ivanov
Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
milen@fmi.uni-sofia.bg

Nadia Zlateva
Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
zlateva@fmi.uni-sofia.bg



We provide a general method for proving existence of solutions of suitable perturbations of certain variational problems. A novel variational principle enables perturbing only the integrand, thus preserving the form of the problem.

Keywords: Existence of solutions, variational problem, perturbation method.

MSC: 46N10; 35A15, 49J45, 90C48

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