Higher order variational problems on two-dimensional domains.
Bildhauer, Michael, Fuchs, Martin (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Bildhauer, Michael, Fuchs, Martin (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Dominic Breit (2013)
Commentationes Mathematicae Universitatis Carolinae
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We discuss regularity results concerning local minimizers of variational integrals like defined on energy classes of solenoidal fields. For the potential we assume a -elliptic growth condition. In the situation without -dependence it is known that minimizers are of class on an open subset of with full measure if (for we have ). In this article we extend this to the case of nonautonomous integrands. Of course our result extends to weak solutions of the corresponding...
Martin Fuchs (1994)
Commentationes Mathematicae Universitatis Carolinae
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We prove the existence of solutions to systems of degenerate variational inequalities.
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.
Chabrowski, J. (1996)
Portugaliae Mathematica
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