On a method of optimization
On a minimax problem of Ricceri.
On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces
On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent
We prove an approximation theorem in generalized Sobolev spaces with variable exponent and we give an application of this approximation result to a necessary condition in the calculus of variations.
On a new class of elastic deformations not allowing for cavitation
On a new superposition principle for optimization problem
On a non linear partial differential equation having natural growth terms and unbounded solution
On a noncoercive system of quasi-variational inequalities related to stochastic control problems.
On a nonlocal metric regularity of nonlinear operators
On a non-standard convex regularization and the relaxation of unbounded integral functionals of the calculus of variations.
On a problem of Monge.
On a problem of potential wells.
On a problem of Ulam.
On a regularization method for variational inequalities with P_0 mappings
We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.
On a semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem,e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
On a semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem, e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
On a shape control problem for the stationary Navier-Stokes equations
On a shape control problem for the stationary Navier-Stokes equations
An optimal shape control problem for the stationary Navier-Stokes system is considered. An incompressible, viscous flow in a two-dimensional channel is studied to determine the shape of part of the boundary that minimizes the viscous drag. The adjoint method and the Lagrangian multiplier method are used to derive the optimality system for the shape gradient of the design functional.
On a solution of an optimization problem in linear control systems with quadratic performance index
On a system of Hamilton-Jacobi-Bellman inequalities associated to a minimax problem with additive final cost.