We prove local higher differentiability of solutions to the problem of minimizing ∫ Omega f (x, v(x), ∇ v(x)) dx under broad assumptions on f. © 2011 Springer-Verlag.
Cellina, A., Mazzola, M. (2012). Higher differentiability of solutions to variational problems. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 45, 11-26 [10.1007/s00526-011-0448-1].
Higher differentiability of solutions to variational problems
CELLINA, ARRIGO;MAZZOLA, MARCO
2012
Abstract
We prove local higher differentiability of solutions to the problem of minimizing ∫ Omega f (x, v(x), ∇ v(x)) dx under broad assumptions on f. © 2011 Springer-Verlag.
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