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arxiv: 1812.06420 · v1 · pith:AUCBOPIOnew · submitted 2018-12-16 · 🧮 math.CV · math.CA· math.FA

The Dirichlet problem for m-subharmonic functions on compact sets

classification 🧮 math.CV math.CAmath.FA
keywords compactfunctionsclassdirichletproblemsetssubharmoniccharacterize
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We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous $m$-subharmonic functions defined on a compact set, and then within the class of $m$-harmonic functions.

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