| 环域上一类拟线性椭圆型方程的正径向解的存在性 |
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| 作者姓名： | 张辉 郭宗明 |
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| 作者单位： | [1]Dept.ofMath.,HenanNormalUniv.,Xinxiang453002. [2]InstituteofSystemsScience,AcademiaSinica,Beijing100080. |
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| 基金项目： | 教育部青年基金,Committee of Science and Technology of Henan Province |
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| 摘 要： | The existence of positive radial solutions of the equation -din( |Du|p-2Du)=f(u) is studied in annular domains in Rn,n≥2. It is proved that if f(0)≥0, f is somewherenegative in (0,∞), limu→0^ f‘ (u)=0 and limu→∞ (f(u)/u^p-1)=∞, then there is alarge positive radial solution on all annuli. If f(0)≤0 and satisfies certain conditions, then the equation has no radial solution if the annuli are too wide.
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| 关 键 词： | 存在性 正径向法 椭圆方程 环型区域 |
| 收稿时间： | 1998-05-15 |
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