A note on necessary conditions in mathematical programming
Camera Placement in Integer Lattices.
Concentration and flatness properties of the singular set of bisected balls
Differential inclusions with free time
Direkte Herleitung von notwendigen Bedingungen der Variationsrechnung bei Mehrfachintegralen im Sinne von Carathéodory.
Discrete twice optimal control systems
Ein Stetigkeitssatz für Variationsprobleme mit Ungleichungen als Nebenbedingung.
Evaluation of Clarke's generalized gradient in optimization of variational inequalities
Existence theorems for moving boundary optimization problems
First and Second Order Necessary Optimality Conditions for Discrete Optimal Control Problems
First Integrals in the Discrete Variational Calculus
First variation of the general curvature-dependent surface energy
We consider general surface energies, which are weighted integrals over a closed surface with a weight function depending on the position, the unit normal and the mean curvature of the surface. Energies of this form have applications in many areas, such as materials science, biology and image processing. Often one is interested in finding a surface that minimizes such an energy, which entails finding its first variation with respect to perturbations of the surface. We present a concise derivation...
First variation of the general curvature-dependent surface energy
We consider general surface energies, which are weighted integrals over a closed surface with a weight function depending on the position, the unit normal and the mean curvature of the surface. Energies of this form have applications in many areas, such as materials science, biology and image processing. Often one is interested in finding a surface that minimizes such an energy, which entails finding its first variation with respect to perturbations of the surface. We present a concise derivation...
Infinite horizon discrete time control problems for bounded processes.
Local calibrations for minimizers of the Mumford–Shah functional with a regular discontinuity set
Necessary conditions for discrete dynamical systems with delays and general constraints
Necessary conditions for Lipschitz continuous discrete control problems
Necessary Conditions for Multiple Integral Problem in the Calculus of Variations.
Necessary optimality conditions for a model of optimal control processes
Necessary optimality conditions for discrete systems with state-dependent control region