The obstacle problem for conformal metrics on compact Riemannian manifolds.
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ABSTRACT:
SUBMITTER: Bao S
PROVIDER: S-EPMC6154054 | biostudies-literature | 2018
REPOSITORIES: biostudies-literature
Publications
The obstacle problem for conformal metrics on compact Riemannian manifolds.
Journal of inequalities and applications 20180912 1
We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds ( M n , g ) arising from conformal deformation. With the a priori estimates the existence of a C 1 , 1 solution to the obstacle problem with Dirichlet boundary value is obtained by approximation. ...[more]
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