The dirichlet problem for the constant mean curvature equation in Sol3

Patricía Klaser; Ana Menezes

doi:10.1215/00192082-7768727

The dirichlet problem for the constant mean curvature equation in Sol₃

Patricía Klaser, Ana Menezes

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We prove a version of the Jenkins–Serrin theorem for the existence of constant mean curvature graphs over bounded domains with infinite boundary data in Sol₃. Moreover, we construct examples of admissible domains where the results may be applied.

Original language	English (US)
Pages (from-to)	259-297
Number of pages	39
Journal	Illinois Journal of Mathematics
Volume	63
Issue number	2
DOIs	https://doi.org/10.1215/00192082-7768727
State	Published - Aug 2019

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "The dirichlet problem for the constant mean curvature equation in Sol3 ",

abstract = "We prove a version of the Jenkins–Serrin theorem for the existence of constant mean curvature graphs over bounded domains with infinite boundary data in Sol3. Moreover, we construct examples of admissible domains where the results may be applied.",

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The dirichlet problem for the constant mean curvature equation in Sol₃

Abstract

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