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C1, α Partial regularity of functions minimising quasiconvex integrals

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Abstract

We prove C1, α almost everywhere regularity for minimisers of functionals of the form ∫F(x,u,Du), where F is uniformly strictly quasiconvex. This extends a recent result of Evans in which F is allowed only to depend on Du.

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References

  1. L.C. Evans, Quasiconvexity and Partial Regularity in the Calculus of Variations, University of Maryland, Department of Mathematics, preprint MD84-45Le, (1984)

  2. I. Ekeland, Nonconvex Minimization Problems,Bull. Amer. Math. Soc. 1 (1979), 443–474

    Google Scholar 

  3. M. Giaquinta,Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Annals of Mathematics Studies 105, Princeton Univ. Press, Princeton, New Jersey, (1983)

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  4. M. Giaquinta and E. Giusti, Differentiability of Minima of Nondifferentiable Functionals,Inventiones Math. 72 (1983), 285–298

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  5. C.B. Morrey Jr.,Multiple Integrals in the Calculus of Variations, Springer-Verlag, Heidelberg, New York, (1966)

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Authors and Affiliations

  1. Centre for Mathematical Analysis, Australian National University, G.P.O. Box 4, 2601, Canberra, A.C.T., Australia

    John Hutchinson

  2. Dipartimento di Matematica, via Mezzocannone 8, 80134, Napoli, Italy

    Nicola Fusco

Authors
  1. Nicola Fusco
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  2. John Hutchinson
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Fusco, N., Hutchinson, J. C1, α Partial regularity of functions minimising quasiconvex integrals. Manuscripta Math 54, 121–143 (1985). https://doi.org/10.1007/BF01171703

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  • DOI: https://doi.org/10.1007/BF01171703

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