POSITIVE RADIAL SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS IN R^n  

POSITIVE RADIAL SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS IN R ̄n

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作  者:CHEN CAISHENG AND WANG YUANMING 

出  处:《Applied Mathematics(A Journal of Chinese Universities)》1995年第2期167-178,共12页高校应用数学学报(英文版)(B辑)

摘  要: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.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.

关 键 词:Fully nonlinear elliptic equations radial entire solution  Schauder-Tychonoff fixedpoint theorem asymptotic behavior. 

分 类 号:O175.25[理学—数学]

 

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