Segmentation of images by variational methods: a constructive approach.
Structure of approximate solutions of variational problems with extended-valued convex integrands
In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand :
Structure of approximate solutions of variational problems with extended-valued convex integrands
In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : Rn×RnR1, where Rn is the n-dimensional Euclidean space. We obtain a full...
Sur le minimum des fonctionnelles dans les espaces de Banach
Sur le principe de Dirichlet
The Dirichlet Energy of Mappings with values into the sphere.
The quadratic criterion of control process quality using the exponential weighting function
Turnpike theorem for convex infinite dimensional discrete-time control systems.
Über das Dirichlet'sche Princip.
Über normminimale Steuerungen von L-Prozessen und lineare Optimierung bei normbeschränkten Steuerungen.
Une note sur les fonctions invariantes
Variational-hemivariational inequalities in nonlinear elasticity. The coercive case
Existence of a solution of the problem of nonlinear elasticity with non-classical boundary conditions, when the relationship between the corresponding dual quantities is given in terms of a nonmonotone and generally multivalued relation. The mathematical formulation leads to a problem of non-smooth and nonconvex optimization, and in its weak form to hemivariational inequalities and to the determination of the so called substationary points of the given potential.
-convergence and absolute minimizers for supremal functionals
In this paper, we prove that the approximants naturally associated to a supremal functional -converge to it. This yields a lower semicontinuity result for supremal functionals whose supremand satisfy weak coercivity assumptions as well as a generalized Jensen inequality. The existence of minimizers for variational problems involving such functionals (together with a Dirichlet condition) then easily follows. In the scalar case we show the existence of at least one absolute minimizer (i.e. local...
Γ-convergence and absolute minimizers for supremal functionals
In this paper, we prove that the Lp approximants naturally associated to a supremal functional Γ-converge to it. This yields a lower semicontinuity result for supremal functionals whose supremand satisfy weak coercivity assumptions as well as a generalized Jensen inequality. The existence of minimizers for variational problems involving such functionals (together with a Dirichlet condition) then easily follows. In the scalar case we show the existence of at least one absolute minimizer (i.e. local solution)...
Выпуклые оболочки и повышение производительности систем при пульсирующей загрузке.
Двойственность в спектральной оптимизации и числовые области семейства самосопряженных операторов
Магистральные свойства оптимальных траекторий в задаче непрерывной оптимизации.
Нелинейные оптимальные системы управления с переменными запаздываниями
Необходимые и достаточные условия экстремума для дискретных и дифференциальных включений с распределенными параметрами.
О динамике множеств, определяемых дифференциальными включениями