| EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO CERTAIN QUASILINEAR ELLIPTIC EQUATIONS IN A BALL |
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| 作者姓名： | 汪全珍 陈祖墀 |
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| 作者单位： | Department of Mathematics University of Science and Technology of China，Department of Mathematics University of Science and Technology of China Hefei 230026，China，Hefei 230026，China |
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| 基金项目： | The project was supported by NNSF of China (10371116) |
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| 摘 要： | By the fixed point theorem on a cone and monotone iterative technique, the existence and multiplicity of the positive radial solutions to a class of quasilinear elliptic equations are considered. Also, using the monotone iteration method the authors deal with the boundary value problem as the nonlinear term f(t,u) increases in u.
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| 关 键 词： | 准线性椭圆方程 正解 存在性 多样性 固定点理论 |
| 收稿时间： | 2003-10-16 |
EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO CERTAIN QUASILINEAR ELLIPTIC EQUATIONS IN A BALL |
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| Wang Quanzhen,Chen Zuchi.EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO CERTAIN QUASILINEAR ELLIPTIC EQUATIONS IN A BALL[J].Acta Mathematica Scientia,2006,26(1):125-133. |
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| Authors: | Wang Quanzhen Chen Zuchi |
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| Abstract: | By the fixed point theorem on a cone and monotone iterative technique, the existence and multiplicity of the positive radial solutions to a class of quasilinear elliptic equations are considered. Also, using the monotone iteration method the authors deal with the boundary value problem as the nonlinear term f(t,u) increases in u. |
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| Keywords: | Quasilineax positive radial solution multiplicity iteration |
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