arXiv · math/0703511
An obstacle control problem involving the p-Laplacian
Abstract
In this paper, we consider the analogous of the obtacle problem in $H_0^1(Ω)$, on the space $W^{1,p}_0(Ω)$. We prove an existence and uniqueness of the result. In a second time, we define the optimal control problem associated. The results, here enclosed, generalize the one obtained by D.R. Adams, S. Lenhard
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Mouna Kraiem. 2007-03-17. An obstacle control problem involving the p-Laplacian. https://arxiv.org/abs/math/0703511
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