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Higher Integrability from Reverse Jensen Inequalities with Different Supports

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 1))

Abstract

In many recent papers dealing with higher integrability of the gradient of solutions of elliptic p.d.e. or of minima of variational integrals, a crucial role is played by a reverse Holder inequality (see [4], [7]).

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References

  1. R.A.Adams, Sobolev Spaces, Academic Press, New York, (1975).

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  8. B.Stroffolini, Medie di tipo Jensen in spazi di Orlicz, Acc. Sci. Fis. Mat. Napoli (1987), to appear.

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Dedicated to Ennio De Giorgi on his sixtieth birthday

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© 1989 Springer Science+Business Media New York

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Fusco, N., Sbordone, C. (1989). Higher Integrability from Reverse Jensen Inequalities with Different Supports. In: Colombini, F., Marino, A., Modica, L., Spagnolo, S. (eds) Partial Differential Equations and the Calculus of Variations. Progress in Nonlinear Differential Equations and Their Applications, vol 1. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4615-9831-2_2

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  • DOI: https://doi.org/10.1007/978-1-4615-9831-2_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4615-9833-6

  • Online ISBN: 978-1-4615-9831-2

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