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Capacity and Potential Estimates for Quasiminimizers

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Abstract

We obtain estimates for quasiminimizing potentials and their level sets. A new method, based on one dimensional quasiminimizers, is used. The connection of these estimates and the maximum principle is studied.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, BOX 68, 00014, Helsinki, Finland

    Olli Martio

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  1. Olli Martio
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Correspondence to Olli Martio.

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Communicated by Peter Hasto.

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Martio, O. Capacity and Potential Estimates for Quasiminimizers. Complex Anal. Oper. Theory 5, 683–699 (2011). https://doi.org/10.1007/s11785-010-0074-5

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  • DOI: https://doi.org/10.1007/s11785-010-0074-5

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