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arxiv: 1804.00765 · v2 · pith:DMRK7T6Unew · submitted 2018-04-02 · 🧮 math.AP

Starshapedeness for fully-nonlinear equations in Carnot groups

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keywords carnotequationsfully-nonlineargroupsstarshapednessbeenbelowcapacitary
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In this paper we establish the starshapedness of the level sets of the capacitary potential of a large class of fully-nonlinear equations for condensers in Carnot groups, once a natural notion of starshapedness has been introduced. Our main result is Theorem 1.2 below.

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