| POSITIVE RADIAL SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS IN R^n |
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| 引用本文： | CHENCAISHENG WANGYUANMING. POSITIVE RADIAL SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS IN R^n[J]. 高校应用数学学报(英文版), 1995, 10(2): 167-178. DOI: 10.1007/BF02662860 |
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| 作者姓名： | CHENCAISHENG WANGYUANMING |
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| 作者单位： | DepartmentofMathematicsandMechanics,SoutheastUniversity,Nanjing210018 |
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| 摘 要： | By the Schauder-Tychonoff fixed-point theorem, we investigate the existence and asymptotic behavior of positive radial solutions of fully nonlinear elliptic equations in R^n. We give some sufficient conditions to guarantee the existence of bounded and unbounded radial solutions and consider the nonexistence of positive solution in R^n.
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| 关 键 词： | 正径向解 完全非线性椭圆型方程 Schauder-Tychonoff不动点定理 存在性 渐近行为 |
| 收稿时间： | 1993-07-07 |
Positive radial solutions of fully nonlinear elliptic equations inR n |
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| Chen Caisheng,Wang Yuanming. Positive radial solutions of fully nonlinear elliptic equations inR n[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 10(2): 167-178. DOI: 10.1007/BF02662860 |
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| Authors: | Chen Caisheng Wang Yuanming |
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| Affiliation: | CHEN CAISHENG AND WANG YUANMING |
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| Abstract: | By the Schauder-Tychonoff fixed-point theorem, we inyestigate the existence and asymptotic behavior of positive radial solutions of fully nonlinear elliptic equations in Re. We give some sufficient conditions to guarantee the existence of bounded and unbounded radial solutions and consider the nonexistence of positive solution in Rn. |
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| Keywords: | Fully nonlinear elliptic equations radial entire solution Schauder-Tychonoff fixedpoint theorem asymptotic behavior. |
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