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Existence of viscosity solutions for ~Iessian equations in exterior domains 被引量：1

Existence of viscosity solutions for ~Iessian equations in exterior domains
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摘要 The Perron method is used to establish the existence of viscosity solutions to the exterior Dirichlet problems for a class of Hessian type equations with prescribed behavior at infinity. The Perron method is used to establish the existence of viscosity solutions to the exterior Dirichlet problems for a class of Hessian type equations with prescribed behavior at infinity.
作者 Boping TIAN Yongqiang FU
机构地区 Department of Mathematics
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2014年第1期201-211,共11页 中国高等学校学术文摘·数学（英文）
基金 Acknowledgements This work was supported in part by the National Natural Science Foundation of China （Grant No. 11371110）.
关键词 Hessian equation viscosity solution exterior domain Hessian equation, viscosity solution, exterior domain
分类号 O175.15 [理学—基础数学] O175.5 [理学—基础数学]
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  • 1Bao J, Chen J, Guan B, Ji M. Liouville property and regularity of a Hessian quotient equation. Amer J Math, 2003, 125:301-316.
  • 2Caffarelli L, Li Y Y. An extension to a theorem of JSrgens, Calabi and Pogorelov. Comm Pure Appl Math, 2003, 56:549-583.
  • 3Caffarelli L, Nirenberg L, Spruck J. The Dirichlet problem for nonlinear second-order elliptic equations Ⅲ. Functions of eigenvalues of the Hessians. Acta Math, 1985, 15: 261-301.
  • 4Caffarelli L, Nirenberg L, Spruck J. Nonlinear second order elliptic equations V. The Dirichlet problem for Weingarten hypersurfaces. Comm Pure Appl Math, 1988, 4: 41- 70.
  • 5Chou K S, Wang X J. Variational theory for Hessian equations. Comm Pure Appl Math, 2001, 54:1029-1064.
  • 6Colesanti A, Salani P. Generalized solutions of Hessian equations. Bull Aust Math Soc, 1997, 56:459-466.
  • 7Crandall M G, Ishii H, Lions P L. User's guide to viscosity solutions of second order partial differential equations. Bull Amer Math Soc, 1992, 27:1-67.
  • 8Crandall M G, Lions P L. Viscosity solutions of Hamilton-Jacobi equations. Trans Amer Math Soc, 1983, 277:1-42.
  • 9Dai L M. The Dirichlet problem for Hessian quotient equations in exterior domains. J Math Anal Appl, 2011, 380:87-93.
  • 10Dai L M, Bao J G. On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains. Front Math China, 2011, 6:221-230.

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Frontiers of Mathematics in China
2014年 第1期

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