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L ∞-Extremal Mappings in AMLE and Teichmüller Theory

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These lecture focus on two vector-valued extremal problems which have a common feature in that the corresponding energy functionals involve L1 norm of an energy density rather than the more familiar Lp norms. Specifically, we will address (a) the problem of extremal quasiconformal mappings and (b) the problem of absolutely minimizing Lipschitz extensions.

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  • 2020-09-21
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