We prove Lipschitz continuity for local minimizers of integral functionals of the Calulus of variations in the vectorial case, where the energy density depends explicity on the space variables and has general growth with respect to the gradient. One of the models is F(u) =integral(Omega) a(chi)[h(\Du\)](p(z))dchi with h a convex function with general growth (also exponential behaviour is allowed).
Everywhere regularity for vectorial functionals with general growth / E. Mascolo; A. Migliorini. - In: ESAIM. COCV. - ISSN 1292-8119. - STAMPA. - 9:(2003), pp. 399-418. [10.1051/cocv:2003019]
Everywhere regularity for vectorial functionals with general growth
MASCOLO, ELVIRA;
2003
Abstract
We prove Lipschitz continuity for local minimizers of integral functionals of the Calulus of variations in the vectorial case, where the energy density depends explicity on the space variables and has general growth with respect to the gradient. One of the models is F(u) =integral(Omega) a(chi)[h(\Du\)](p(z))dchi with h a convex function with general growth (also exponential behaviour is allowed).
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