The obstacle problem for conformal metrics on compact Riemannian manifolds

We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds [Formula: see text] arising from conformal deformation. With the a priori estimates the existence of a [Formula: see text] solution to the obstacle pr...

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Detalles Bibliográficos
Autores principales: Bao, Sijia, Xing, Yuming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154054/
https://www.ncbi.nlm.nih.gov/pubmed/30839653
http://dx.doi.org/10.1186/s13660-018-1827-3
Descripción
Sumario:We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds [Formula: see text] arising from conformal deformation. With the a priori estimates the existence of a [Formula: see text] solution to the obstacle problem with Dirichlet boundary value is obtained by approximation.

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