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| REITERATED HOMOGENIZATION OF DEGENERATE NONLINEAR ELLIPTIC EQUATIONS |
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Citation： |
J. BYSTROM,J. ENGSTROM,P. WALL.REITERATED HOMOGENIZATION OF DEGENERATE NONLINEAR ELLIPTIC EQUATIONS[J].Chinese Annals of Mathematics B,2002,23(3):325~334 |
| Page view： 1170
Net amount： 867 |
Authors： |
J. BYSTROM; J. ENGSTROM;P. WALL |
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| Abstract： |
The authors study homogenization of some nonlinear partial differential equations of the form $-\div\left( a\left(hx,h^{2}x,Du_{h}\right) \right) =f,$ where $a$ is periodic in the first two arguments and monotone in the third. In particular the case where $a$ satisfies degenerated structure conditions is studied. It is proved that $u_{h}$ converges weakly in $W_{0}^{1,1}\left( \Omega \right) $ to the unique solution of a limit problem as $h\rightarrow \infty $. Moreover, explicit expressions for the limit problem are obtained. |
Keywords： |
Homogenization, Reiterated, Monotone, Degenerated |
Classification： |
35B27, 35J70, 74Q99 |
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