Lane–Emden systems with negative exponents

Lane–Emden systems with negative exponents
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DOI:
10.1016/j.jfa.2010.02.003
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发表时间:
2010-05
影响因子:
1.7
通讯作者:
M. Ghergu
M. Ghergu
中科院分区:
数学1区
文献类型:
--
作者:
M. Ghergu

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研究了有界区域Ω <$RN(N <$1)中的椭圆型方程组,p,s <$0,q,r>0.研究了C2(Ω)<$C(Ω <$)解的存在性、不存在性和唯一性.得到了在边界上解的C1-正则性的一个充分必要条件。
We study the elliptic system in a bounded domain Ω⊂RN(N⩾1) with a smooth boundary, p,s⩾0 and q,r>0. We investigate the existence, non-existence, and uniqueness of C2(Ω)∩C(Ω¯) solutions in terms of p, q, r and s. A necessary and sufficient condition for the C1-regularity of solutions up to the boundary is also obtained.