A free boundary problem with a volume penalization
A frictional contact problem for an electro-viscoelastic body.
A frictional contact problem with adhesion for viscoelastic materials with long memory
We consider a quasistatic contact problem between a viscoelastic material with long-term memory and a foundation. The contact is modelled with a normal compliance condition, a version of Coulomb's law of dry friction and a bonding field which describes the adhesion effect. We derive a variational formulation of the mechanical problem and, under a smallness assumption, we establish an existence theorem of a weak solution including a regularity result. The proof is based on the time-discretization...
A further generalization of Ky Fan's maximal inequality and its applications
A general approach to the existence of minimizers of one-dimensional non-coercive integrals of the calculus of variations
A general existence theorem for differential inclusions in the vector valued case.
A general Hamilton-Jacobi framework for non-linear state-constrained control problems
The paper deals with deterministic optimal control problems with state constraints and non-linear dynamics. It is known for such problems that the value function is in general discontinuous and its characterization by means of a Hamilton-Jacobi equation requires some controllability assumptions involving the dynamics and the set of state constraints. Here, we first adopt the viability point of view and look at the value function as its epigraph. Then, we prove that this epigraph can always be described...
A general iterative algorithm for generalized mixed equilibrium problems and variational inclusions approach to variational inequalities.
A general iterative method for solving the variational inequality problem and fixed point problem of an infinite family of nonexpansive mappings in Hilbert spaces.
A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert spaces.
A general mountain pass principle for locating and classifying critical points
A general projection method for a system of relaxed cocoercive variational inequalities in Hilbert spaces.
A generalization of a theorem of H. Brezis & F. E. Browder and applications to some unilateral problems
A generalization of an Ekeland-Lebourg theorem and the differentiability of distance functions
A generalization of Dubovitskij-Miliutin theorem
A generalization of Ekeland's variational principle with applications.
A generalized differential of real functionals.
A generalized dual maximizer for the Monge–Kantorovich transport problem
The dual attainment of the Monge–Kantorovich transport problem is analyzed in a general setting. The spaces X,Y are assumed to be polish and equipped with Borel probability measures μ and ν. The transport cost function c : X × Y → [0,∞] is assumed to be Borel measurable. We show that a dual optimizer always exists, provided we interpret it as a projective limit of certain finitely additive measures. Our methods are functional analytic and rely on Fenchel’s perturbation technique.
A generalized dual maximizer for the Monge–Kantorovich transport problem∗
The dual attainment of the Monge–Kantorovich transport problem is analyzed in a general setting. The spaces X,Y are assumed to be polish and equipped with Borel probability measures μ and ν. The transport cost function c : X × Y → [0,∞] is assumed to be Borel measurable. We show that a dual optimizer always exists, provided we interpret it as a projective limit of certain finitely additive measures. Our methods are functional analytic...
A generalized hybrid steepest-descent method for variational inequalities in Banach spaces.