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Pure Mathematics 2021
一类k-Hessian 方程正径向解的存在性
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Abstract:
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| [8] | Caffarelli, L., Nirenberg, L. and Spruck, J. (1985) Dirichlet Problem for Nonlinear Second Order Elliptic Equations. Functions of the Eigenvalues of the Hessian. Acta Mathematica, 155, 261-301. https://doi.org/10.1007/BF02392544 |
| [9] | Wei, W. (2016) Uniqueness Theorems for Negative Radial Solutions of k-Hessian Equations in a Ball. Journal of Differential Equations, 261, 3757-3771. https://doi.org/10.1016/j.jde.2016.06.004 |
| [10] | Zhang, Z. and Zhou, S. (2015) Existence of Entire Positive k-Convex Radial Solutions to Hessian Equations and Systems with Weights. Applied Mathematics Letters, 50, 48-55. https://doi.org/10.1016/j.aml.2015.05.018 |
| [11] | Zhang, X. (2020) Analysis of Nontrivial Radial Solutions for Singular Superlinear k-Hessian Equations. Applied Mathematics Letters, 106, Article ID: 106409. https://doi.org/10.1016/j.aml.2020.106409 |
| [12] | Gao, C., He, X. and Ran, M. (2020) On a Power-Type Coupled System of k-Hessian Equations. Quaestiones Mathematicae. https://doi.org/10.2989/16073606.2020.1816586 |
| [13] | He, J., Zhang, X., Liu, L. and Wu, Y. (2018) Existence and Nonexistence of Radial Solutions of the Dichlet Problem for a Class of General k-Hessian Equations. Nonlinear Analysis, 23, 475-492. https://doi.org/10.15388/NA.2018.4.2 |
