Existence of renormalized solutions for a degenerate elliptic equation with degenerate coercivity in weighted Sobolev spaces(一类具退化强制的椭圆方程在加权Sobolev空间中重整化解的存在性)
运用截断方法研究了一类椭圆方程在加权Sobolev空间中解的存在性.主要采用Marcinkiewicz估计,在得到逼近解序列的截断函数先验估计的基础上,通过选取适当的检验函数,对逼近解序列做合适的估计,以此证明重整化解的存在性.
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2018-11-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2018.06.005 |