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arXiv · 2205.15272

Regularity of capillarity droplets with obstacle

Guido De Philippis·Nicola Fusco·Massimiliano Morini
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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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Guido De Philippis, Nicola Fusco, Massimiliano Morini. 2022-05-30. Regularity of capillarity droplets with obstacle. https://arxiv.org/abs/2205.15272

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