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1. Uniqueness and Characterization of the Maximizers of Integral Functionals With Constraints

Author

Cristina Draghici, Hichem Hajaiej, University of Zurich, and Draghici, C

Subjects
Discrete mathematics, Class (set theory), General Mathematics, 010102 general mathematics, Statistical and Nonlinear Physics, Characterization (mathematics), 01 natural sciences, 010101 applied mathematics, Algebra, 10123 Institute of Mathematics, 510 Mathematics, 3109 Statistical and Nonlinear Physics, Uniqueness, 0101 mathematics, Mathematics, Counterexample, 2600 General Mathematics
Abstract

In this paper we maximize a class of functionals under certain constraints. We find necessary and sufficient conditions for these maximizers to exist and be unique. Moreover, we characterize them and discuss the optimality of our results by constructing counterexamples when one of the hypotheses does not hold.

Published
2009