Overdetermined elliptic problems in nontrivial contractible domains of the sphere

DOI10.1016/j.matpur.2023.10.009zbMath1529.35219arXiv2210.10826MaRDI QIDQ6139822

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Publication date: 19 December 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.10826

zbMATH Keywords

existencesemilinear equationoverdetermined problemLaplace-Beltrami operator on the unit sphere

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

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