Existence of viscosity solutions with asymptotic behavior of exterior problems for Hessian equations

Volume 9, Issue 1, pp 342--349 http://dx.doi.org/10.22436/jnsa.009.01.32

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Authors

Xianyu Meng - Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China. Yongqiang Fu - Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China.

Abstract

The Perron method is used to establish the existence of viscosity solutions of exterior problems for a class of Hessian type equations with prescribed behavior at infinity.

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ISRP Style

Xianyu Meng, Yongqiang Fu, Existence of viscosity solutions with asymptotic behavior of exterior problems for Hessian equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 342--349

AMA Style

Meng Xianyu, Fu Yongqiang, Existence of viscosity solutions with asymptotic behavior of exterior problems for Hessian equations. J. Nonlinear Sci. Appl. (2016); 9(1):342--349

Chicago/Turabian Style

Meng, Xianyu, Fu, Yongqiang. "Existence of viscosity solutions with asymptotic behavior of exterior problems for Hessian equations." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 342--349

Keywords

Hessian equation
viscosity solution
asymptotic behavior
exterior problem coincidence.

MSC

35J40
35J60

References

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