Applications of Fixed Point Theorems to the Vacuum Einstein Constraint Equations with Non-Constant Mean Curvature-Reference-Cited by-同舟云学术

Applications of Fixed Point Theorems to the Vacuum Einstein Constraint Equations with Non-Constant Mean Curvature

Published:2015-10-16 Issue:8 Volume:17 Page:2237-2263
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Nguyen The Cang

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00023-015-0446-5.pdf

Reference17 articles.

1. Aubin T.: Some nonlinear problems in Riemannian geometry. Springer Monographs in Mathematics. Springer, Berlin (1998)

2. Bartnik R., Isenberg J.: The constraint equations. The Einstein Equations and the Large Scale Behavior of Gravitational Fields, pp. 1–38. Birkhäuser, Basel (2004)

3. Bich, P.: Some fixed point theorems for discontinuous mappings. In: Cahiers de la Maison des Sciences Economiques b06066. Université Panthéon-Sorbonne, Paris 1 (2006)

4. Chang K.-C.: Methods in nonlinear analysis. Springer Monographs in Mathematics. Springer, Berlin (2005)

5. Choquet-Bruhat Y., Geroch R.: Global aspects of the Cauchy problem in general relativity. Commun. Math. Phys. 14, 329–335 (1969)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Einstein-Type Elliptic Systems;Annales Henri Poincaré;2022-04-13

2. Solutions to the Einstein Constraint Equations with a Small TT-Tensor and Vanishing Yamabe Invariant;Annales Henri Poincaré;2021-03-15

3. Construction of vacuum initial data by the conformally covariant split system;Classical and Quantum Gravity;2019-06-21

4. Progress on nonuniqueness of solutions to the vacuum Einstein conformal constraint equations with positive Yamabe invariant;Classical and Quantum Gravity;2018-07-18

5. Nonexistence and nonuniqueness results for solutions to the vacuum Einstein conformal constraint equations;Communications in Analysis and Geometry;2018