Local Estimates for Elliptic Equations Arising in Conformal Geometry

DOI10.1093/IMRN/RNR262zbMath1315.53033arXiv1010.6115OpenAlexW2963188621WikidataQ124882236 ScholiaQ124882236MaRDI QIDQ5250358

Weimin Sheng, Yan He

Publication date: 19 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.6115

zbMATH Keywords

Yamabe-type problemtotally geodesic boundarieshigher-order curvatures

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Counterexamples to C² Boundary Estimates for a Fully Nonlinear Yamabe Problem on Manifolds with Boundary ⋮ Prescribing the symmetric function of the eigenvalues of the Schouten tensor

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