On a singular nonlinear elliptic boundary-value problem

On a singular nonlinear elliptic boundary-value problem
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DOI:
10.1090/s0002-9939-1991-1037213-9
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发表时间:
1991-03
期刊:
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影响因子:
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通讯作者:
A. Lazer;P. J. McKenna
A. Lazer;P. J. McKenna
中科院分区:
其他
文献类型:
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作者:
A. Lazer;P. J. McKenna

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考虑奇异边值问题Au + p(x)uY = 0在Q中,u I aQ = 0,其中y> 0.在p(x)> 0和一定的光滑性假设下,我们证明了存在一个解,它在Q2上是光滑的,在Q上是连续的.
We consider the singular boundary-value problem Au+p(x)uY = 0 in Q, u I aQ = 0, where y > 0. Under the assumption p(x) > 0 and certain smoothness assumptions, we show that there exists a solution which is smooth on Q2 and continuous on Q .