| 一类退化拟线性椭圆型方程的无穷多解 |
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| 引用本文： | 覃霄岗.一类退化拟线性椭圆型方程的无穷多解[J].广西大学学报(自然科学版),1989(1). |
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| 作者姓名： | 覃霄岗 |
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| 作者单位： | 广西大学数学系 |
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| 摘 要： | 本文讨论了在一点退化(g(0)=0)的拟线性椭圆型方程—D(g|Du|)Du)=f(x,u)的无穷个非平凡解的存在性。
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| 关 键 词： | 退化椭圆型方程 palais—smale 条件 mountain pass lemma |
Infinitely Many Solutions of a Class of Quasilinear Degenerated Elliptic Eqations |
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| Qin Xiaogang.Infinitely Many Solutions of a Class of Quasilinear Degenerated Elliptic Eqations[J].Journal of Guangxi University(Natural Science Edition),1989(1). |
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| Authors: | Qin Xiaogang |
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| Institution: | Qin Xiaogang |
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| Abstract: | In this paper,we discuss the existence of infinitely many nontrival generalized solutions of the degenerated equation-D(g(|D_u|~2D_iu) =f(x,u)which is degenerated at g(0)=0,using mountain pass theorem. |
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| Keywords: | degenerated elliptic equation palais-smale condition mountain pass lemma |
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