Displaying similar documents to “Some remarks on the regularity of minimizers of integrals with anisotropic growth”

Everywhere regularity for vectorial functionals with general growth

Elvira Mascolo, Anna Paola Migliorini (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models is F u = ∫ Ω a ( x ) [ h | D u | ] p ( x ) d x with h a convex function with general growth (also exponential behaviour is allowed).

Optimal partial regularity of minimizers of quasiconvex variational integrals

Christoph Hamburger (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove partial regularity with optimal Hölder exponent of vector-valued minimizers of the quasiconvex variational integral ∫ F ( x , u , D u ) d x under polynomial growth. We employ the indirect method of the bilinear form.