Nonlinear Elliptic Equations with Singular Boundary Conditions and Stochastic Control with State Constraints. I. The Model Problem.
Nonlinear mixed zero-one Programming: Practical and Theoretical Aspects
Nonlinear parabolic variational inequalities
Nonlinear retarded integral inequalities with two variables and applications.
Nonlinear Variational Inequalities and Maximal Monotone Mappings in Banach Spaces.
Nonlinear Variational Inequalities Depending on a Parameter
This paper develops the results announced in the Note [14]. Using an eigenvalue problem governed by a variational inequality, we try to unify the theory concerning the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions.
Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces.
Non-local approximation of free-discontinuity problems with linear growth
We approximate, in the sense of Γ-convergence, free-discontinuity functionals with linear growth in the gradient by a sequence of non-local integral functionals depending on the average of the gradients on small balls. The result extends to higher dimension what we already proved in the one-dimensional case.
Non-local approximation of functionals: variational and evolution problems
Questa nota tratta dell'approssimazione di funzionali, usati in problemi con discontinuità libere, mediante famiglie di funzionali non locali in cui il gradiente è sostituito dal rapporto incrementale. Vengono inoltre presentate alcune applicazioni di questa teoria a problemi variazionali e di evoluzione.
Nonlocal variational problems arising in long wave propagation
Nonlocal variational problems arising in long wave propagatioN
In this paper we study the existence of minimizer for certain constrained variational problems given by functionals with nonlocal terms. This type of functionals are first integrals of evolution equations describing long wave propagation and the existence of minimizer gives the existence and the stability of traveling waves for these equations. Due to loss of compactness, the major problem is to prevent dichotomy of minimizing sequences. Our approach is an alternative to the concentration-compactness...
Nonnegativity of functionals corresponding to the second order half-linear differential equation
In this paper we study extremal properties of functional associated with the half–linear second order differential equation E. Necessary and sufficient condition for nonnegativity of this functional is given in two special cases: the first case is when both points are regular and the second is the case, when one end point is singular. The obtained results extend the theory of quadratic functionals.
Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems
Non-parametric approximation of non-anticipativity constraints in scenario-based multistage stochastic programming
We propose two methods to solve multistage stochastic programs when only a (large) finite set of scenarios is available. The usual scenario tree construction to represent non-anticipativity constraints is replaced by alternative discretization schemes coming from non-parametric estimation ideas. In the first method, a penalty term is added to the objective so as to enforce the closeness between decision variables and the Nadaraya–Watson estimation of their conditional expectation. A numerical application...
Nonparametric Maximum Likelihood Estimation of a Probability Density via Mathematical Programming.
Nonparametric minimal surfaces in whose boundaries have a jump discontinuity.
Nonsmooth analysis and optimization on partially ordered vector spaces.
Nonsmooth analysis approach to Isaac's equation.
Nonsmooth equations approach to a constrained minimax problem
An equivalent model of nonsmooth equations for a constrained minimax problem is derived by using a KKT optimality condition. The Newton method is applied to solving this system of nonsmooth equations. To perform the Newton method, the computation of an element of the -differential for the corresponding function is developed.
Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions