Annales Academię Scientiarum Fennicę
Mathematica
Volumen 33, 2008, 597-604

A CACCIOPPOLI ESTIMATE AND FINE CONTINUITY FOR SUPERMINIMIZERS ON METRIC SPACES

Riikka Korte

Helsinki University of Technology, Institute of Mathematics
P.O. Box 1100, FI-02015 TKK, Finland; rkorte 'at' math.tkk.fi

Abstract. We prove a Caccioppoli estimate for p-superminimizers on metric spaces. As an application, we provide a new proof for the fine continuity of p-superminimizers.

2000 Mathematics Subject Classification: Primary 31C45, 46E35.

Key words: Caccioppoli estimate, fine continuity, metric spaces, superminimizers.

Reference to this article: R. Korte: A Caccioppoli estimate and fine continuity for superminimizers on metric spaces. Ann. Acad. Sci. Fenn. Math. 33 (2008), 597-604.

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