Compatibility phenomena in singular problems

Compatibility phenomena in singular problems
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DOI:
10.1017/s030821051100117x
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发表时间:
2013-12
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
Sun Yijing
Sun Yijing
中科院分区:
其他
文献类型:
--
作者:
Sun Yijing

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给出了强奇异问题h01 -解的最优系数与负指数相容条件。这使得我们可以建立p≥3时h01解的存在性。我们的证明是基于变分论证的。
We derive a compatible condition between coefficients and negative exponents, which is optimal for H01-solutions of strongly singular problems. This allows us to establish the existence of H01-solutions for p ≥ 3. Our proof is based on a variational argument.