Serrin's over-determined problem on Riemannian manifolds

DOI10.1515/acv-2014-0017zbMath1326.58011arXiv1406.0065OpenAlexW2962681468WikidataQ115237079 ScholiaQ115237079MaRDI QIDQ745084

Mouhamed Moustapha Fall, Ignace Aristide Minlend

Publication date: 13 October 2015

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0065

zbMATH Keywords

foliationisochoric profileover-determined problem

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32) Perturbations of PDEs on manifolds; asymptotics (58J37) Overdetermined systems of PDEs with variable coefficients (35N10) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

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Nontrivial solutions to Serrin's problem in annular domains ⋮ Existence of self-Cheeger sets on Riemannian manifolds ⋮ On Serrin's overdetermined problem in space forms ⋮ Serrin's overdetermined problem on \(\mathbb{S}^N \times\mathbb{R}\) ⋮ A Riemannian Point of View for a Quadrature Surface Free Boundary Problem ⋮ Serrin's overdetermined problem on the sphere ⋮ Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities ⋮ Geometric rigidity of constant heat flow ⋮ On critical points of the relative fractional perimeter ⋮ Foliation of an asymptotically flat end by critical capacitors

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