A class of fully nonlinear equations on the closed manifold

DOI10.1016/j.difgeo.2018.08.001zbMath1398.53041OpenAlexW2887889456WikidataQ115355066 ScholiaQ115355066MaRDI QIDQ1792425

Weina Lu, Xiao-Ling Zhang, Jin-Hua Yang

Publication date: 11 October 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.08.001

zbMATH Keywords

prescribed curvature problem\(k\)-order elementary symmetric function

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Unnamed Item
• Some Dirichlet problems arising from conformal geometry
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• An expansion of convex hypersurfaces
• An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
• Conformal geometry, contact geometry, and the calculus of variations
• The Yamabe problem for higher order curvatures
• Prescribing symmetric functions of the eigenvalues of the Ricci tensor
• Some existence results for fully nonlinear elliptic equations of monge-ampère type
• The Yamabe problem
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On some inequalities for elementary symmetric functions
• Fully nonlinear equations on Riemannian manifolds with negative curvature

This page was built for publication: A class of fully nonlinear equations on the closed manifold