Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Maximal monotone relations and the second derivatives of nonsmooth functions
Mean curvature of a measure and related variational problems
Mean-Field Optimal Control
We introduce the concept of mean-field optimal control which is the rigorous limit process connecting finite dimensional optimal control problems with ODE constraints modeling multi-agent interactions to an infinite dimensional optimal control problem with a constraint given by a PDE of Vlasov-type, governing the dynamics of the probability distribution of interacting agents. While in the classical mean-field theory one studies the behavior of a large number of small individuals freely interacting...
Memory effects and -convergence: A time dependent case.
Metric space valued functions of bounded variation
Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids
Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases
We present Z. Naniewicz method of optimization a coercive integral functional 𝒥 with integrand being a minimum of quasiconvex functions. This method is applied to the minimization of functional with integrand expressed as a minimum of two quadratic functions. This is done by approximating the original nonconvex problem by appropriate convex ones.
Minimization problems with lack of compactness
Minimum problems on with irregular boundary datum
Modification of unfolding approach to two-scale convergence
Two-scale convergence is a powerful mathematical tool in periodic homogenization developed for modelling media with periodic structure. The contribution deals with the classical definition, its problems, the ``dual'' definition based on the so-called periodic unfolding. Since in the case of domains with boundary the unfolding operator introduced by D. Cioranescu, A. Damlamian, G. Griso does not satisfy the crucial integral preserving property, the contribution proposes a modified unfolding operator...
Monotone measures with bad tangential behavior in the plane
We show that for every , there is a set such that is a monotone measure, the corresponding tangent measures at the origin are not unique and has the -dimensional density between and everywhere on the support.
Monotonicity and separation for the Mumford–Shah problem
Multifonctions s.c.i. et régularisée s.c.i. essentielle