Variational problems involving unequal dimensional optimal transport
نویسندگان
چکیده
منابع مشابه
Optimal Control Problems Involving Set Measures
Various optimal control problems involving set measures are formulated. An example for such problems is that of optimal motion planning for a mobile observer or robot equipped with cameras to obtain maximum visual coverage of a given terrain. Optimality conditions in the form of variational inequality and maximum principle are presented. The results are applied to the optimal motion planning pr...
متن کاملSymmetric duality for multiobjective fractional variational problems involving cones
In this paper, a pair of multiobjective fractional variational symmetric dual problems over cones is formulated. Weak, strong and converse duality theorems are established under generalized F-convexity assumptions. Moreover, self duality theorem is also discussed. 2007 Elsevier B.V. All rights reserved.
متن کاملOn Some Variational Problems Involving Volume and Surface Energies
We show how some problems coming from different fields of applied sciences such as physics, engineering, biology, admit a common variational formulation characterized by the competition of two energetic terms. We discuss related problems and techniques studied by the authors and collaborators in the recent past as well open problems and further possible research directions in these topics.
متن کاملVariational Problems for Functionals Involving the Value Distribution
We study variational problems involving the measure of level sets, or more precisely the push-forward of the Lebegue measure. This problem generalizes variational problems with finitely many (discrete) volume constraints. We obtain existence results for this general framework. Moreover, we show the surprising existence of asymmetric solutions to symmetric variational problems with this type of ...
متن کاملVariational Problems Involving a Caputo-Type Fractional Derivative
We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives, with dependence on a real parameter ρ. We present sufficient and necessary conditions of first and second order to determine the extremizers of a functiona...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2020
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2020.05.004