Partial continuity for elliptic problems
Mikil Foss, Giuseppe Mingione (2008)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “A regularity result for a convex functional and bounds for the singular set”
Partial continuity for elliptic problems
Regularity results for a class of obstacle problems
Michela Eleuteri (2007)
Applications of Mathematics
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We prove some optimal regularity results for minimizers of the integral functional belonging to the class , where is a fixed function, under standard growth conditions of -type, i.e.
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 with a convex function with general growth (also exponential behaviour is allowed).
Regularity of minimizers for nonconvex vectorial integrals with growth via relaxation methods.
Benedetti, Irene, Mascolo, Elvira (2004)
Abstract and Applied Analysis
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Regularity for degenerate elliptic problems via p-harmonic approximation
Frank Duzaar, Giuseppe Mingione (2004)
Annales de l'I.H.P. Analyse non linéaire
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Smoothness for systems of degenerate variational inequalities with natural growth
Martin Fuchs (1992)
Commentationes Mathematicae Universitatis Carolinae
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We extend a regularity theorem of Hildebrandt and Widman [3] to certain degenerate systems of variational inequalities and prove Hölder-continuity of solutions which are in some sense stationary.