On Singular Sets of Local Solutions to p-Laplace Equations |
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| Authors: | Hongwei LOU |
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| Institution: | (1) Key Laboratory of Mathematics for Nonlinear Sciences, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China |
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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.
Project supported by 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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| Keywords: | Singular set p-Laplace equation Optimal control Existence |
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