In this paper we study some optimal control problems of systems governed by quasilinear elliptic equations in divergence form with non differentiable coefficients at the origin. We prove existence of solutions and derive the optimality conditions by considering a perturbation of the differential operator coefficients that removes the singularity at the origin. Regularity of optimal controls is also deduced.
@article{urn:eudml:doc:44312,
title = {Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {4},
year = {1991},
pages = {227-250},
zbl = {0749.49006},
mrnumber = {MR1145697},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44312}
}
Casas, Eduardo; Fernández, Luis Alberto. Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.. Revista Matemática de la Universidad Complutense de Madrid, Tome 4 (1991) pp. 227-250. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44312/