On differentiability of the extremals of variational integrals
Giaquinta, Mariano
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Displaying similar documents to “Regularity for non-uniformly elliptic systems and application to some variational integrals.”
On differentiability of the extremals of variational integrals
Some remarks on the regularity of minimizers of integrals with anisotropic growth
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.
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 under polynomial growth. We employ the indirect method of the bilinear form.
Optimal interior partial regularity for nonlinear elliptic systems for the case under natural growth condition.
Chen, Shuhong, Tan, Zhong (2010)
Journal of Inequalities and Applications [electronic only]
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