| 退缩拟线性椭圆型方程某类边值问题的无穷多解 |
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| 引用本文： | 邓立虎. 退缩拟线性椭圆型方程某类边值问题的无穷多解[J]. 高校应用数学学报(A辑), 1991, 6(4): 617-618 |
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| 作者姓名： | 邓立虎 |
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| 作者单位： | 桂林电子工业学院数学教研组 邮码 |
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| 摘 要： | 文[1]证明了如下D氏问题 -D_i(g|Du|~2)D_iu=f(x,u),x∈Ω, u=0,x∈Ω存在非平凡解,本文讨论上述方程的另一类边界问题 -D_i(g|Du|~2)D_iu=f(x,u),x∈Ω, g(|Du|~2)D_iu(0)(n,x_i)+h(x,u)=0,x∈Ω, (1)其中Ω∈R~n是具有光滑边界的有界区域,n(x)是Ω在x点的外法向,D_iu=u/x_i,Du=gradu=u,重复指标表示求和,与问题(1)相应的泛函为:
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| 关 键 词： | 椭圆型方程 边值问题 拟线性 |
INFINITELY MANY SOLUTIONS OF CERTAIN BOUNDARY VALUE PROBLEM FOR QUASILINEAR DEGENERATE ELLIPTIC EQUATION |
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| Deng Lihu. INFINITELY MANY SOLUTIONS OF CERTAIN BOUNDARY VALUE PROBLEM FOR QUASILINEAR DEGENERATE ELLIPTIC EQUATION[J]. Applied Mathematics A Journal of Chinese Universities, 1991, 6(4): 617-618 |
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| Authors: | Deng Lihu |
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| Affiliation: | Guilin Institute of Electronic Industry |
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| Abstract: | |
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| Keywords: | Degenerate Elliptic Equation Nontrivial Generalized Solution Mountain Pass Lemma. |
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