We consider an optimal control problem for a class of non-linear elliptic equations. A result of existence and uniqueness of the state equation is proven under weaker hypotheses than in the literature. We also prove the existence of an optimal control. Applications to some lubrication problems and numerical results are given.

Keywords: compressible Reynolds lubrication equation, optimal control problems, Shauder fixed point theorem

@article{COCV_2005__11_1_102_0, author = {Ciuperca, Ionel and El Alaoui Talibi, Mohamed and Jai, Mohammed}, title = {On the optimal control of coefficients in elliptic problems. {Application} to the optimization of the head slider}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {102--121}, publisher = {EDP-Sciences}, volume = {11}, number = {1}, year = {2005}, doi = {10.1051/cocv:2004029}, zbl = {1101.49004}, mrnumber = {2110616}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2004029/} }

TY - JOUR AU - Ciuperca, Ionel AU - El Alaoui Talibi, Mohamed AU - Jai, Mohammed TI - On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2005 DA - 2005/// SP - 102 EP - 121 VL - 11 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2004029/ UR - https://zbmath.org/?q=an%3A1101.49004 UR - https://www.ams.org/mathscinet-getitem?mr=2110616 UR - https://doi.org/10.1051/cocv:2004029 DO - 10.1051/cocv:2004029 LA - en ID - COCV_2005__11_1_102_0 ER -

%0 Journal Article %A Ciuperca, Ionel %A El Alaoui Talibi, Mohamed %A Jai, Mohammed %T On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider %J ESAIM: Control, Optimisation and Calculus of Variations %D 2005 %P 102-121 %V 11 %N 1 %I EDP-Sciences %U https://doi.org/10.1051/cocv:2004029 %R 10.1051/cocv:2004029 %G en %F COCV_2005__11_1_102_0

Ciuperca, Ionel; El Alaoui Talibi, Mohamed; Jai, Mohammed. On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider. ESAIM: Control, Optimisation and Calculus of Variations, Volume 11 (2005) no. 1, pp. 102-121. doi : 10.1051/cocv:2004029. http://www.numdam.org/articles/10.1051/cocv:2004029/

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