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Regularity of capillarity droplets with obstacle

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arxiv 2205.15272 v1 pith:RAQ7D6DM submitted 2022-05-30 math.AP

Guido De Philippis , Nicola Fusco , Massimiliano Morini This is my paper
classification math.AP
keywords capillarityregularityapplicationsconfinedconstraineddropletsenergygiven
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abstract

In this paper we study the regularity properties of $\Lambda$-minimizers of the capillarity energy in a half space with the wet part constrained to be confined inside a given planar region. Applications to a model for nanowire growth are also provided.

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