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
[ Fulltext-pdf (122 KB)] for subscribers only.