Necessary and sufficient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains
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- by Chong Wang and Jiguang Bao PDF
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Abstract:
In this paper, we are concerned with the Dirichlet problems of Hessian equations on exterior domains with prescribed asymptotic behavior at infinity, and we obtain the necessary and sufficient conditions on existence and convexity of radial solutions.References
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Additional Information
- Chong Wang
- Affiliation: School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People’s Republic of China
- Jiguang Bao
- Affiliation: School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People’s Republic of China
- Received by editor(s): August 5, 2011
- Published electronically: August 16, 2012
- Communicated by: James E. Colliander
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 1289-1296
- MSC (2010): Primary 35J60; Secondary 35J96
- DOI: https://doi.org/10.1090/S0002-9939-2012-11738-1
- MathSciNet review: 3008876