| 一类带梯度项的半线性椭圆型方程爆炸解的存在性 |
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| 引用本文： | 张志军.一类带梯度项的半线性椭圆型方程爆炸解的存在性[J].烟台大学学报(自然科学与工程版),1999,12(3):157-161. |
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| 作者姓名： | 张志军 |
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| 作者单位： | 烟台大学数学与信息科学系 |
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| 基金项目： | 国家自然科学基金,甘肃省自然科学基金 |
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| 摘 要： | 通过非线性变换将爆炸解问题转化成等价的带奇异项的Ｄｉｒｉｃｈｌｅｔ问题，并应用摄动方法，结合上下解方法与椭圆型方程的估计理论得到了爆炸解的存在性。
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| 关 键 词： | 半线性 椭圆型方程 梯度项 爆炸解 存在性 |
The Existence of Explosive Solutions for a Class of Semilinear Elliptic Equations with a Gradient Term |
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| Zhang Zhijun.The Existence of Explosive Solutions for a Class of Semilinear Elliptic Equations with a Gradient Term[J].Journal of Yantai University(Natural Science and Engineering edirion),1999,12(3):157-161. |
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| Authors: | Zhang Zhijun |
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| Abstract: | In this paper the nonlinear change of variable transforms the problem of explosive solutions into the equivalent Dirichlet problem with the singular term. It follows by the perturbed method,combining sub supersolutions method and the estimates theorey for elliptic equations of second order,the existence of explosive solutions is obtained. |
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| Keywords: | semilinear elliptic equations geadient term explosive solutions existence |
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