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
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author Bao, Sijia
Xing, Yuming
author_facet Bao, Sijia
Xing, Yuming
author_sort Bao, Sijia
collection PubMed
description 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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spelling pubmed-61540542018-10-10 The obstacle problem for conformal metrics on compact Riemannian manifolds Bao, Sijia Xing, Yuming J Inequal Appl Research 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. Springer International Publishing 2018-09-12 2018 /pmc/articles/PMC6154054/ /pubmed/30839653 http://dx.doi.org/10.1186/s13660-018-1827-3 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Bao, Sijia
Xing, Yuming
The obstacle problem for conformal metrics on compact Riemannian manifolds
title The obstacle problem for conformal metrics on compact Riemannian manifolds
title_full The obstacle problem for conformal metrics on compact Riemannian manifolds
title_fullStr The obstacle problem for conformal metrics on compact Riemannian manifolds
title_full_unstemmed The obstacle problem for conformal metrics on compact Riemannian manifolds
title_short The obstacle problem for conformal metrics on compact Riemannian manifolds
title_sort obstacle problem for conformal metrics on compact riemannian manifolds
topic Research
url 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
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