Frontiers of Mathematics in China

, Volume 9, Issue 1, pp 201–211 | Cite as

Existence of viscosity solutions for Hessian equations in exterior domains

  • Boping Tian
  • Yongqiang FuEmail author
Research Article


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.


Hessian equation viscosity solution exterior domain 


35J40 35J60 


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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of MathematicsHarbin Institute of TechnologyHarbinChina

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