The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds

DOI10.1016/j.aim.2019.106854zbMath1427.53047arXiv1805.09597OpenAlexW2981665284WikidataQ123196638 ScholiaQ123196638MaRDI QIDQ2335495

Yuping Ruan, Xuezhang Chen, Li-Ming Sun

Publication date: 14 November 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09597

zbMATH Keywords

positive mass theoremmountain pass lemmaboundary Yamabe problemconformal Fermi coordinates

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Compactness for a class of Yamabe-type problems on manifolds with boundary ⋮ An existence theorem on the isoperimetric ratio over scalar-flat conformal classes ⋮ Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation ⋮ Blowing-up solutions for supercritical Yamabe problems on manifolds with umbilic boundary

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