| 非线性退缩椭圆型方程组边值问题的非负解 |
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| 引用本文： | 杨世钦 辜联kun.非线性退缩椭圆型方程组边值问题的非负解[J].厦门大学学报(自然科学版),1991,30(1):6-11. |
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| 作者姓名： | 杨世钦 辜联kun |
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| 作者单位： | 厦门大学数学系
(杨世钦),厦门大学数学系(辜联昆) |
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| 摘 要： | 应用上、下解方法建立非线性退缩椭圆型方程组边值问题耦合拟解的存在性定理;通过实际构造非负上下解,证明N=2,f_1=u_2~(1+β),f_2=u_1~(1+α)时非负解存在。
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| 关 键 词： | 非线性 退缩椭圆组 非负解 上下解 |
Nonnegative Solutions of the Boundary Value Problem for Nonlinear Degenerate Elliptic Systems |
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| Yang Shixin Gu Liankun.Nonnegative Solutions of the Boundary Value Problem for Nonlinear Degenerate Elliptic Systems[J].Journal of Xiamen University(Natural Science),1991,30(1):6-11. |
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| Authors: | Yang Shixin Gu Liankun |
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| Institution: | Dept. of Math. |
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| Abstract: | An existence theorem of coupled quasi-sofutions of the B VP for nonlinear elliptic systemswas established by the lower-upper solution method. And,when " , the nonnegative lower and upper solutions have been constructed to prove the existence of nonnegative solutions. |
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| Keywords: | Nonlinear Degenerate elliptic system Nonnegative solution Lower and upper solutions Coupled quasi-solutions |
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