Boundary continuity for quasiminimizers on metric spaces

Jana Björn · Illinois Journal of Mathematics · 2002

A pointwise estimate near a boundary point is obtained for quasiminimizers of the energy integral on a doubling metric measure space admitting a Poincaré inequality. Wiener type conditions sufficient for the (Hölder) continuity of quasiminimizers at a boundary point are also given.

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