On total differential inclusions
On transformations of singular quadratic functionals corresponding to equation
On two iterative methods for mixed monotone variational inequalities.
On Uniform Differentiability
We introduce the notion of uniform Fréchet differentiability of mappings between Banach spaces, and we give some sufficient conditions for this property to hold.
On variational approach to photometric stereo
On variational inequalities associated with the Navier-Stokes equation: Some bifurcation problems.
On Variational Problems with Obstacles and Integral Constraints for Vector-Valued Functions.
On variations of the shape Hessian and sufficient conditions for the stability of critical shapes.
Para el estudio de la naturaleza de formas críticas en optimización de formas se requieren algunas propiedades de continuidad sobre las derivadas de segundo orden de las formas. Dado que la fórmula de Taylor-Young involucra a diferentes topologías que no son equivalentes, dicha fórmula no permite deducir cuando una forma crítica es un mínimo local estricto de la función forma pese a que su Hessiano sea definido positivo en ese punto. El resultado principal de este trabajo ofrece una cota superior...
On weak minima of certain integral functionals
We prove a regularity result for weak minima of integral functionals of the form where F(x,ξ) is a Carathéodory function which grows as with some p > 1.
On weak sharp minima for a special class of nonsmooth functions
We present a characterization of weak sharp local minimizers of order one for a function f: ℝⁿ → ℝ defined by , where the functions are strictly differentiable. It is given in terms of the gradients of and the Mordukhovich normal cone to a given set on which f is constant. Then we apply this result to a smooth nonlinear programming problem with constraints.
On weak sharp minima in vector optimization with applications to parametric problems
On weak solutions to a viscoelasticity model
On -convergence for problems of jumping type.
On ε-optimal controls for state constraint problems
On σ-porous and Φ-angle-small sets in metric spaces
One counterexample concerning the Fréchet differentiability of convex functions on closed sets
Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
We extend the open mapping theorem and inversion theorem of Robinson for convex multivalued mappings to γ-paraconvex multivalued mappings. Some questions posed by Rolewicz are also investigated. Our results are applied to obtain a generalization of the Farkas lemma for γ-paraconvex multivalued mappings.
Operatori di tipo su reticoli completi
Operator-splitting methods for general mixed variational inequalities.
Optimal boundary control for a time dependent thermistor problem.