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| Global Multi-Holder Estimate of Solutions to Elliptic Equations of HigherOrder |
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Citation： |
Chen Shuxing.Global Multi-Holder Estimate of Solutions to Elliptic Equations of HigherOrder[J].Chinese Annals of Mathematics B,1987,8(2):239~251 |
| Page view： 830
Net amount： 938 |
Authors： |
Chen Shuxing; |
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| Abstract： |
In this paper the global multi-Holder estimate of solutions to general boundary value problem of elliptic equations of higher order is discussed. Let м be the solution of Pu=f of m-th order elliptic equation with Dirichlet conditions
$D_n^iu=f_j,0\leq j \leq m/2-1$
where f\inC^r,\delta(\Omega),g_j\in C^{m-j+r,\delta}(\partial \Omega) with {0<\gamma =0,\delta>1} or {\gamma =1,\delta \leq 0}.Then u\inC^{m+[\tilde \gamma],[\tilde \delta]},where ([\tilde \gamma],[\tilde \delta])=(\gamma,\delta) if 0<\gamma <1 and \delta \in R^1,([\tilde \gamma],[\tilde \delta])=(\gamma,\delta -1) if \gamma=0,\delta >1 or \gamma =1,\delta \leq 0.Moreover,in the case \gamma =0 and 0\leq \delta <1,u\in C^(m-1)+1,\delta -1. |
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