An obstacle control problem involving the p-Laplacian

Details An obstacle control problem involving the p-Laplacian An obstacle control problem involving the p-Laplacian

2007-03-17

arxiv.org/abs/math/0703511v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we consider the analogous of the obtacle problem in
$H_0^1(\Omega)$, on the space $W^{1,p}_0(\Omega)$. 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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