Existence and uniqueness of solution of unilateral problems with data.
Existence and uniqueness of solutions for a class of infinite-horizon systems derived from optimal control.
Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points
This study deals with the existence and uniqueness of solutions to dynamical problems of finite freedom involving unilateral contact and Coulomb friction. In the frictionless case, it has been established [P. Ballard, Arch. Rational Mech. Anal. 154 (2000) 199–274] that the existence and uniqueness of a solution to the Cauchy problem can be proved under the assumption that the data are analytic, but not if they are assumed to be only of class C∞. Some years ago, this finding was extended [P. Ballard...
Existence and uniqueness of the solution of Laplace's equation from a model of magnetic recording.
Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities.
Existence conditions in symmetric multivalued vector quasiequilibrium problems
Existence d'un contrôle optimal via l'analyse non standard.
In this article, we want to show that it is possible to give a complete theory about the existence of an optimal control, without introducing any functional space, by means of the Non Standard Analysis.
Existence et approximation de points selles pour certains problèmes non linéaires
Existence of a continuous solution of parametric nonlinear equation with constraints.
Existence of a Solution of the Quasi- Variational Inequality With Semicontinuous Operator
Existence of critical points for some noncoercive functionals
Existence of H-bubbles in a perturbative setting.
Given a C1 function H: R3 --> R, we look for H-bubbles, i.e., surfaces in R3 parametrized by the sphere S2 with mean curvature H at every regular point..
Existence of lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case
Existence of mild solutions for semilinear equation of evolution
The aim of this paper is to give an existence theorem for a semilinear equation of evolution in the case when the generator of semigroup of operators depends on time parameter. The paper is a generalization of [2]. Basing on the notion of a measure of noncompactness in Banach space, we prove the existence of mild solutions of the equation considered. Additionally, the applicability of the results obtained to control theory is also shown. The main theorem of the paper allows to characterize the set...
Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation.
Existence of minimizers and lower semicontinuity of integral functionals in the vectorial case
Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints
In this paper we study set-valued optimization problems with equilibrium constraints (SOPECs) described by parametric generalized equations in the form where both and are set-valued mappings between infinite-dimensional spaces. Such models particularly arise from certain optimization-related problems governed by set-valued variational inequalities and first-order optimality conditions in nondifferentiable programming. We establish general results on the existence of optimal solutions under...
Existence of minimizers for non-quasiconvex functionals arising in optimal design
Existence of minimizers for some non convex one-dimensional integrals.
Existence of minimizers of free autonomous variational problems via solvability of constrained ones