Some sharp estimates connected to the homogenized p-Laplacian equation

被引:0
作者
Lukkassen, D
机构
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1996年 / 76卷
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暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove some upper and lower estimates for the effective energy corresponding to the homogenized p-Laplacian equation and we even find all cases where these estimates coincide. For the case p = 2, the linear conductivity case, our results generalize those obtained earlier in [2], [3] and [4]. We also point out that our estimates are tighter than those obtained by Tartar in [6] when the conductivity tensor is isotropic.
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页码:603 / 604
页数:2
相关论文
共 6 条
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Dal Maso G, 1993, INTRO P CONVERGENCE
[2]  
LUKKASSEN D, 1994, USP MAT NAUK, V49, P115
[3]  
LUKKASSEN D, IN PRESS APPL ANAL
[4]  
LUKKASSEN D, IN PRESS USPEKHI MAT
[5]  
Persson L.-E., 1993, HOMOGENIZATION METHO
[6]  
TARTAR L., 1979, Lecture Notes in Math., V704, P364