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| On Singular Sets of Local Solutions to p-Laplace Equations |
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Citation： |
Hongwei LOU.On Singular Sets of Local Solutions to p-Laplace Equations[J].Chinese Annals of Mathematics B,2008,29(5):521~530 |
| Page view： 1118
Net amount： 812 |
Authors： |
Hongwei LOU; |
Foundation： |
the National Natural Science Foundation of China (No. 10671040), the Foundation for the Author of National Excellent Doctoral Dissertation of China (No. 200522) and the Program for New Century Excellent Talents in University of China (No. 06-0359) |
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| Abstract： |
The author proves that the right-hand term of a p-Laplace equation is zero on the singular set of a local solution to the equation. Such a result is used to study the existence of an optimal control problem. |
Keywords： |
Singular set, p-Laplace equation, Optimal control, Existence |
Classification： |
35J70, 49J45 |
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