On differentiability of the extremals of variational integrals
Giaquinta, Mariano
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Giaquinta, Mariano
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Tilak Bhattacharya, Francesco Leonetti (1993)
Commentationes Mathematicae Universitatis Carolinae
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We prove higher integrability for minimizers of some integrals of the calculus of variations; such an improved integrability allows us to get existence of weak second derivatives.
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.
Chen, Shuhong, Tan, Zhong (2010)
Journal of Inequalities and Applications [electronic only]
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