Integrability for vector-valued minimizers of some variational integrals
We prove that the higher integrability of the data improves on the integrability of minimizers of functionals , whose model is where and .
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Francesco Leonetti, Francesco Siepe (2001)
Commentationes Mathematicae Universitatis Carolinae
We prove that the higher integrability of the data improves on the integrability of minimizers of functionals , whose model is where and .
Marco Castelpietra (2009)
ESAIM: Control, Optimisation and Calculus of Variations
We consider an optimal control problem for a system of the form = f(x,u), with a running cost L. We prove an interior sphere property for the level sets of the corresponding value function V. From such a property we obtain a semiconcavity result for V, as well as perimeter estimates for the attainable sets of a symmetric control system.
Antonio J. Ureña (2006)
Annales de l'I.H.P. Analyse non linéaire
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