Nonlinear Elliptic Equations with Singular Boundary Conditions

Nonlinear Elliptic Equations with Singular Boundary Conditions
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DOI:
10.1006/jmaa.1997.5635
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发表时间:
1997-12
影响因子:
1.3
通讯作者:
Zhijun Zhang
Zhijun Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Zhijun Zhang

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摘要我们考虑模型问题[公式],其中Ω是RN中具有光滑边界的有界区域,q ∈ [0,2),并且k(u)= up(p > 1)或eu。我们证明了存在一个经典解。
Abstract We consider the model problem[formula]where Ω is a bounded region in R N with smooth boundary, q ∈ [0, 2), and k ( u ) = u p ( p > 1) or e u . We show that there exists a classical solution.