| EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS IN ANNULUS |
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| 引用本文： | 姚庆六,马勤生. EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS IN ANNULUS[J]. 应用数学和力学(英文版), 2002, 23(12): 1452-1457. DOI: 10.1007/BF02438385 |
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| 作者姓名： | 姚庆六 马勤生 |
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| 作者单位： | Department of Applied Mathematics，Nanjing University of Economics，College of Mathematics and Information Science，Northwest Normal University Nanjing 210003，P R China，Lanzhou 730070，P R China |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｉｅｓｏｆｐｏｓｉｔｉｖｅｒａｄｉａｌｓｏｌｕｔｉｏｎｓｆｏｒｆｏｌｌｏｗｉｎｇｓｅｍｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍ(Ｐ) Δｕ(Ｘ) +ｇ( ｜Ｘ｜)ｆ(ｕ(Ｘ) ) =0 , Ｒ1<｜Ｘ｜<Ｒ2 ,ｕ(Ｘ) ｜｜Ｘ｜ =Ｒ1 =ｕ(Ｘ) ｜｜Ｘ｜ =Ｒ2 =0(ｗｈｅｒｅＲ1>0 ,Ｘ ∈Ｒｎ,ｎ ≥ 2 )ａｒｅｂｅｉｎｇｃｏｎｔｉｎｕｅｄｆｏｒｒｅｃｅｎｔ 2 0ｙｅａｒｓｗｉｔｈｏｕｔｉｎｔｅｒｒｕｐｔｉｏｎ[1- 11],ｂｅｃａｕｓｅｔｈｅｐｒｏｂｌｅｍ (Ｐ)ｈａｓｗｉ…
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| 收稿时间： | 2000-04-21 |
Existence of positive radial solutions for some semilinear elliptic equations in annulus |
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| Yao Qing-liu Professor,Ma Qin-sheng. Existence of positive radial solutions for some semilinear elliptic equations in annulus[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(12): 1452-1457. DOI: 10.1007/BF02438385 |
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| Authors: | Yao Qing-liu Professor Ma Qin-sheng |
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| Affiliation: | 1. Department of Applied Mathematics, Nanjing University of Economics,Nanjing 210003, P R China
2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, P R China |
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| Abstract: | Applying Krasnosel'skii fixed point theorem of cone expansion-compression type, the existence of positive radial solutions for some second-order nonlinear elliptic equations in annular domains, subject to Dirichlet boundary conditions, is investigated. By considering the properties of nonlinear term on boundary closed intervals, several existence results of positive radial solutions are established. The main results are independent of superlinear growth and sublinear growth of nonlinear term. If nonlinear term has extreme values and satisfies suitable conditions, the main results are very effective. Biography: Yao Qing-liu (1946-) |
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| Keywords: | second_order elliptic equation annular domain positive radial solution |
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