Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds

DOI10.1142/S0219199718500219zbMath1415.53023arXiv1611.00229OpenAlexW2962847960WikidataQ130015050 ScholiaQ130015050MaRDI QIDQ5380162

Xuezhang Chen, Li-Ming Sun

Publication date: 4 June 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00229

zbMATH Keywords

scalar curvaturecritical exponentmanifold with boundarymean curvaturepositive conformal invariant

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Smooth Yamabe invariant with boundary ⋮ Compactness for a class of Yamabe-type problems on manifolds with boundary ⋮ Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation ⋮ The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds

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