Abstract
We prove the existence and the uniqueness of entire solutions of elliptic Hessian equations in \(\mathbb {C}^{n}\) with rotational invariance in an appropriate weighted Hölder spaces.
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Many thanks to the referee for his valuable comments which have greatly improved the presentation of this paper.
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Hossein, M., Ezzaldine, H., Khalil, H. et al. Entire Solution of Hessian Equations in \(\mathbb {C}^{n}\) . Vietnam J. Math. 44, 829–837 (2016). https://doi.org/10.1007/s10013-016-0203-1
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DOI: https://doi.org/10.1007/s10013-016-0203-1
Keywords
- Hessian equations
- Weighted Hölder spaces
- Estimation
- Method of continuity
- Nonlinear elliptic equations
- Entire solution