Regularity results for local minimizers of energies with general densities having superquadratic growth

Fuchs, M.

doi:10.1090/S1061-0022-2010-01120-8

Regularity results for local minimizers of energies with general densities having superquadratic growth
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by M. Fuchs

St. Petersburg Math. J. 21 (2010), 825-838

DOI: https://doi.org/10.1090/S1061-0022-2010-01120-8

Published electronically: July 15, 2010

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Abstract:

Variational integrals whose energy densities are represented by $N$- functions $h$ of at least quadratic growth are considered. Under rather general conditions on $h$, almost everywhere regularity of vector-valued local minimizers is established, and it is possible to include the case of higher order variational problems without essential changes in the arguments.

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