Regularity of minima of variational integrals
Josef Daněček, Eugen Viszus (1999)
Mathematica Slovaca
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Josef Daněček, Eugen Viszus (1999)
Mathematica Slovaca
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Mikil Foss, Giuseppe Mingione (2008)
Annales de l'I.H.P. Analyse non linéaire
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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.
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 under polynomial growth. We employ the indirect method of the bilinear form.