The obstacle problem for conformal metrics on compact Riemannian manifolds

The obstacle problem for conformal metrics on compact Riemannian manifolds

Abstract We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds (Mn,g) $(M^{n}, g)$ arising from conformal deformation. With the a priori estimates the existence of a C1,1 $C^{1,1} $ solution to the obstac...

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Bibliographic Details
Main Authors: Sijia Bao, Yuming Xing
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Obstacle problem
A priori estimates
Hessian equations
Viscosity solutions
Riemannian manifolds
Online Access:http://link.springer.com/article/10.1186/s13660-018-1827-3

Internet

http://link.springer.com/article/10.1186/s13660-018-1827-3

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