Regularity of nonlinear equations for fractional Laplacian
Regularity of nonlinear equations for fractional Laplacian
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DOI：
10.1090/s0002-9939-2013-11734-x
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发表时间：
2013-04
期刊：
影响因子：
--
通讯作者：
Aliang Xia;Jianfu Yang
中科院分区：
文献类型：
--
作者：
Aliang Xia;Jianfu Yang
In this paper, we prove that anysolutionof the problem\begin {equation}(-\Delta)^ su= f (u)\textrm {in}\Omega,\quad u= 0\textrm {on}\partial\Omega,\end {equation} belongs tofor the nonlinearity ofbeing subcritical and critical. This implies that the solutionis classical ifisfor some. References
