Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 2: 221 - 230

DOI: https://doi.org/10.1007/s11464-011-0109-x

RESEARCH ARTICLE

On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains

  • Limei DAI 1 ,
  • Jiguang BAO , 2
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  • 1. School of Mathematics and Information Science, Weifang University,Weifang 261061, China
  • 2. School of Mathematical Sciences, Beijing Normal University; Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

Received date: 13 Apr 2010

Accepted date: 19 Jul 2010

Published date: 01 Apr 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, we obtain the uniqueness and existence of viscosity solutions with prescribed asymptotic behavior at infinity to Hessian equations in exterior domains.

Key words： Hessian equation; uniqueness; existence; viscosity solution; exterior domain

Cite this article

Limei DAI , Jiguang BAO . On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains[J]. Frontiers of Mathematics in China, 2011 , 6(2) : 221 -230 . DOI: 10.1007/s11464-011-0109-x

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