Regularity of capillarity droplets with obstacle

De Philippis, Guido; Fusco, Nicola; Morini, Massimiliano

doi:10.1090/tran/9152

Regularity of capillarity droplets with obstacle
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by Guido De Philippis, Nicola Fusco and Massimiliano Morini;

Trans. Amer. Math. Soc. 377 (2024), 5787-5835

DOI: https://doi.org/10.1090/tran/9152

Published electronically: April 24, 2024

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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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