Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.

Casas, Eduardo, and Fernández, Luis Alberto. "Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.." Revista Matemática de la Universidad Complutense de Madrid 4.2-3 (1991): 227-250. <http://eudml.org/doc/44312>.

@article{Casas1991,
abstract = {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.},
author = {Casas, Eduardo, Fernández, Luis Alberto},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Ecuaciones diferenciales elípticas; Coeficientes; Singularidades; Control óptimo; quasilinear elliptic equation; non-differentiable coefficients; perturbed differential operator; differential operator; Lipschitz continuous boundary; non-differentiability},
language = {eng},
number = {2-3},
pages = {227-250},
title = {Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.},
url = {http://eudml.org/doc/44312},
volume = {4},
year = {1991},
}

TY - JOUR
AU - Casas, Eduardo
AU - Fernández, Luis Alberto
TI - Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1991
VL - 4
IS - 2-3
SP - 227
EP - 250
AB - 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.
LA - eng
KW - Ecuaciones diferenciales elípticas; Coeficientes; Singularidades; Control óptimo; quasilinear elliptic equation; non-differentiable coefficients; perturbed differential operator; differential operator; Lipschitz continuous boundary; non-differentiability
UR - http://eudml.org/doc/44312
ER -