Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Existence of solutions
  • variational problem
  • perturbation method

Mathematics Subject Classification

46N10; 35A15, 49J45, 90C48

Suggested citation

M. Ivanov, N. Zlateva. “Perturbation Method for Variational Problems.” Journal of Convex Analysis 19 (2012), No. 4, 1033–1042. https://doi.org/10.68381/jca19055

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Published by Heldermann Verlag, 2012. Rights now held by Banach Press.