Holder continuity results for a class of functionals with non standard growth

Eleuteri, Michela (2002) Holder continuity results for a class of functionals with non standard growth. UNSPECIFIED. (Unpublished)

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    Abstract

    We prove regularity results for minimizers of the integral functional f(x,u,Du)dx under non-standard growth condotions of p(x)-type, i.e. L-1|x| p(x) ≤ f(x,s,z) ≤ L (1+|x| p(x)) under sharp assumptions on the continuuus function p(x)>1

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: UNSPECIFIED
    Report Number: UTM 616, April 2002
    Repository staff approval on: 17 May 2005

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