The basic problem of the calculus of variations consists of finding a function that minimizes an energy, like finding the fastest trajectory between two points for a point mass in a gravity field moving without friction under the influence of gravity or finding the best shape of a wing.
Apr 3, 2024
In section 2.2 we prove the non-occurrence of the Lavrentiev phenomenon for a class of Lagrangians of the Calculus of Variations with higher-order derivatives.
May 8, 2023 · In this article we study convex non-autonomous variational problems with differential forms and corresponding function spaces.
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Feb 22, 2024 · In this article we study convex non-autonomous variational problems with differential forms and corresponding function spaces.
multidimensional problems permits a clear discussion of the Lavrentiev phenomenon for general integral functionals of the calculus of variations. Page 4 ...
The term Lavrentiev phenomenon refers to the quite surprising feature of some functionals of the calculus of variations to possess different infima if ...
The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and ...
A variational problem arising as a model in martensitic phase trans- formation including surface energy is studied. It explains the complex,.
A note on approximation of optimal solutions of free problems of the calculus of variations. Rend. Circ. Math. Palermo (2) 28 (1979), 258-272. 2. J. Ball and V.
The Lavrentiev phenomenon in the calculus of variations is viewed and handled as a value Hadamard illposedness problem. Regularization is obtained by a ...