Optimal control problems in measure spaces governed by semilinear elliptic equations are considered. First order optimality conditions are derived and structural properties of their solutions, in particular sparsity, are discussed. Necessary and sufficient second order optimality conditions are obtained as well. On the basis of the sufficient conditions, stability of the solutions is analyzed. Highly nonlinear terms can be incorporated by utilizing an L() regularity result for solutions of the first order necessary optimality conditions
Abstract. In this paper a class of semilinear elliptic optimal control problem with pointwise state ...
We study the minimization of the cost functional $F(\mu) = ||u-u_d||_{L^p(\Omega)}+\alpha||\mu||_{{\...
Optimal control problems in measure spaces governed by parabolic equations with are considered. The ...
Optimal control problems in measure spaces governed by elliptic equations are consid-ered for distri...
. In this paper we are concerned with some optimal control problems governed by semilinear elliptic ...
A class of optimal control problems for quasilinear elliptic equations is considered, where the coef...
This article deals with state constrained optimal control problem for semilinear elliptic equation i...
Second-order sufficient optimality conditions are established for the optimal control of semilinear ...
An optimal control problem for semilinear elliptic partial differential equations is considered. The...
Abstract. The goal of this paper is to prove the first and second order optimality conditions for so...
We study here an optimal control problem for a semilinear elliptic equation with an exponential nonl...
We investigate optimal control problems governed by a semilinear obstacle problem. We relax the feas...
International audienceWe consider optimal control problems governed by semilinear elliptic equations...
Abstract. We study the existence of optimal controls for problems governed by semilinear parabolic e...
Optimal control problems governed by semilinear elliptic partial differential equations are consider...
Abstract. In this paper a class of semilinear elliptic optimal control problem with pointwise state ...
We study the minimization of the cost functional $F(\mu) = ||u-u_d||_{L^p(\Omega)}+\alpha||\mu||_{{\...
Optimal control problems in measure spaces governed by parabolic equations with are considered. The ...
Optimal control problems in measure spaces governed by elliptic equations are consid-ered for distri...
. In this paper we are concerned with some optimal control problems governed by semilinear elliptic ...
A class of optimal control problems for quasilinear elliptic equations is considered, where the coef...
This article deals with state constrained optimal control problem for semilinear elliptic equation i...
Second-order sufficient optimality conditions are established for the optimal control of semilinear ...
An optimal control problem for semilinear elliptic partial differential equations is considered. The...
Abstract. The goal of this paper is to prove the first and second order optimality conditions for so...
We study here an optimal control problem for a semilinear elliptic equation with an exponential nonl...
We investigate optimal control problems governed by a semilinear obstacle problem. We relax the feas...
International audienceWe consider optimal control problems governed by semilinear elliptic equations...
Abstract. We study the existence of optimal controls for problems governed by semilinear parabolic e...
Optimal control problems governed by semilinear elliptic partial differential equations are consider...
Abstract. In this paper a class of semilinear elliptic optimal control problem with pointwise state ...
We study the minimization of the cost functional $F(\mu) = ||u-u_d||_{L^p(\Omega)}+\alpha||\mu||_{{\...
Optimal control problems in measure spaces governed by parabolic equations with are considered. The ...