Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-pseudolinear Functions
Efficiency in terms of Lagrangian.
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.
Elements of quasiconvex subdifferential calculus.
Epi-differentiability and optimality conditions for an extremal problem under inclusion constraints.
Epigraphical analysis
Équations inf-convolutives et conjugaison de Moreau-Fenchel
Equilibrium of maximal monotone operator in a given set
Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10].
Euler-Lagrange inclusions and existence of minimizers for a class of non-coercive variational problems.
Evaluation of Clarke's generalized gradient in optimization of variational inequalities
Examples of convex functions and classifications of normed spaces.
Existence and infinitely many solutions for an abstract class of hemivariational inequalities.
Existence and uniqueness for dynamical unilateral contact with Coulomb friction : a model problem
A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl. 2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class . However, uniqueness is recovered provided that the data are analytic [Ballard, Arch. Rational Mech....
Existence and uniqueness for dynamical unilateral contact with Coulomb friction: a model problem
A simple dynamical problem involving unilateral contact and dry friction of Coulomb type is considered as an archetype. We are concerned with the existence and uniqueness of solutions of the system with Cauchy data. In the frictionless case, it is known [Schatzman, Nonlinear Anal. Theory, Methods Appl.2 (1978) 355–373] that pathologies of non-uniqueness can exist, even if all the data are of class C∞. However, uniqueness is recovered provided that the data are analytic [Ballard, Arch. Rational...
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 of a continuous solution of parametric nonlinear equation with constraints.
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 multiple solutions for quasilinear diagonal elliptic systems.
Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems
In this paper we examine nonlinear periodic systems driven by the vectorial -Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity. Our approach is based on the nonsmooth critical point theory and uses the subdifferential theory for locally Lipschitz functions. We prove existence and multiplicity results for the “sublinear” problem. For the semilinear problem (i.e. ) using a nonsmooth multidimensional version of the Ambrosetti-Rabinowitz condition, we prove an existence theorem...
Existence of solutions for nonconvex second-order differential inclusions in the infinite dimensional space.