Miguel Oliveira, Georgi Smirnov
Published 2017-12-13Version 1
In this paper we present explicit estimate for Lipschitz constant of solution to a problem of calculus of variations. The approach we use is due to Gamkrelidze and is based on the equivalence of the problem of calculus of variations and a time-optimal control problem. The obtained estimate is used to compute complexity bounds for a path-following method applied to a convex problem of calculus of variations with polyhedral end-point constraints.
The Lavrentiev phenomenon
Regularity of solutions to higher-order integrals of the calculus of variations
On the local everywhere bounndedness of the minima of a class of integral functionals of the Calculus of the Variations with 1<q<2
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