| 加权Sobolev空间和非线性椭圆型方程组 |
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| 引用本文： | 简怀玉. 加权Sobolev空间和非线性椭圆型方程组[J]. 怀化学院学报, 1991, 0(1) |
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| 作者姓名： | 简怀玉 |
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| 作者单位： | 怀化师专数学系 |
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| 摘 要： | 本文研究高阶非线性椭圆方程组解集的致密性,其中w(x)允许有奇点。为此,我们引进了加权Sobolev空间H~m(w_0,w_1,…w_m,n),并证明了H~m(W_0,W_1,…w_m,闽),的Rellich紧性定理,W_0,W_1,……W_m∈A_2,A_2是Muckenhoupt权函数类。
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| 关 键 词： | 加权Sobolev空间 非线性椭圆组 致密性 |
Weighted Sobolev Space and Nonlinear Elliptic Systems |
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| Jian Huaiyu. Weighted Sobolev Space and Nonlinear Elliptic Systems[J]. Journal of Huaihua University, 1991, 0(1) |
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| Authors: | Jian Huaiyu |
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| Affiliation: | Department of Matbematics |
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| Abstract: | Some pre-compactness theorems are studied for the solutions of the following higher ordernonlinear clliptic systems:hcrc w(x) is permitted to have singular points. For this purpose we introduce the weighted space Hm(w0,…wm,Ω) and prove a Rcllicb compactness theorem for it ,where wiEEE A2, Muckenhoupt's class. |
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| Keywords: | Weighted sobolev space nonlinear systems pre-compactness. |
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