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Uniqueness and characterization of maximizers of integral functionals with constraints

Cristina Draghici·Hichem Hajaiej
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Abstract

In this paper we maximize a class of functionals under certain constraints. We find sufficient and necessary 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 these hypotheses does not hold.

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Cristina Draghici, Hichem Hajaiej. 2007-02-27. Uniqueness and characterization of maximizers of integral functionals with constraints. https://arxiv.org/abs/math/0702816

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