[1] |
Trudinger, N. and Wang, X. (2008) The Monge-Amp`ere Equations and Its Geometric Appli- cations. Handbook of Geometric Analysis, 1, 467-524. |
[2] |
Shivaji, R., Sim, I. and Son, B. (2017) A Uniqueness Result for a Semipositone p-Laplacian Problem on the Exterior of a Ball. Journal of Mathematical Analysis and Applications, 445, 459-475. https://doi.org/10.1016/j.jmaa.2016.07.029 |
[3] |
Zhang, Z. (2015) Boundary Behavior of Large Solutions to the Monge-Amp`ere Equations with Weight. Journal of Differential Equations, 259, 2080-2100. https://doi.org/10.1016/j.jde.2015.03.040 |
[4] |
Zhang, Z. (2018) Large Solutions to the Monge-Amp`ere Equations with Nonlinear Gradient Terms: Existence and Boundary Behavior. Journal of Differential Equations, 264, 263-296. https://doi.org/10.1016/j.jde.2017.09.010 |
[5] |
Zhang, Z. and Qi, Z. (2015) On a Power-Type Coupled of Monge-Amp`ere Equations. Topolog- ical Methods in Nonlinear Analysis, 46, 717-729. |
[6] |
Lazer, A. and McKenna, P. (1996) On Singular Boundary Value Problems for the Monge Amp`ere Operator. Journal of Mathematical Analysis and Applications, 197, 342-362. https://doi.org/10.1006/jmaa.1996.0024 |
[7] |
Feng, M. (2021) Convex Solutions of Monge-Amp`ere Equations and Systems: Existence, U- niqueness and Asymptotic Behavior. Advances in Nonlinear Analysis, 10, 371-399. https://doi.org/10.1515/anona-2020-0139 |
[8] |
Feng, M. and Zhang, X. (2021) A Coupled System of k-Hessian Equations. Mathematical Methods in the Applied Sciences, 44, 7377-7394. https://doi.org/10.1002/mma.6053 |
[9] |
Gao, C., He, X. and Ran, M. (2021) On a Power-Type Coupled System of k-Hessian Equations. Quaestiones Mathematicae, 44, 1593-1612. https://doi.org/10.2989/16073606.2020.1816586 |
[10] |
Zhang, X. and Feng, M. (2019) The Existence and Asymptotic Behavior of Boundary Blow-Up Solutions to the k-Hessian Equation. Journal of Differential Equations, 267, 4626-4672. https://doi.org/10.1016/j.jde.2019.05.004 |
[11] |
Wan, H., Shi, Y. and Qiao, X. (2021) Entire Large Solutions to the k-Hessian Equations with Weights: Existence, Uniqueness and Asymptotic Behavior. Journal of Mathematical Analysis and Applications, 503, Article ID: 125301. https://doi.org/10.1016/j.jmaa.2021.125301 |
[12] |
Sun, H. and Feng, M. (2018) Boundary Behavior of k-Convex Solutions for Singular k-Hessian Equations. Nonlinear Analysis, 176, 141-156. https://doi.org/10.1016/j.na.2018.06.010 |
[13] |
Trudinger, N. (1995) On the Dirichlet Problem for Hessian Equations. Acta Mathematica, 175, 151-164. https://doi.org/10.1007/BF02393303 |
[14] |
Ji, X. and Bao, J. (2010) Necessary and Sufficient Condition on Solvability for Hessian Inequal- ities. Proceedings of the AMS, 138, 175-188. https://doi.org/10.1090/S0002-9939-09-10032-1 |
[15] |
Guo, D. and Lakshmikantham, V. (1988) Nonlinear Problems in Abstract Cones. Academic Press, Inc., Cambridge, MA. |