Newton's method in the context of gradients.
Newton's methods for variational inclusions under conditioned Fréchet derivative
Estimates of the radius of convergence of Newton's methods for variational inclusions in Banach spaces are investigated under a weak Lipschitz condition on the first Fréchet derivative. We establish the linear convergence of Newton's and of a variant of Newton methods using the concepts of pseudo-Lipschitz set-valued map and ω-conditioned Fréchet derivative or the center-Lipschitz condition introduced by the first author.
Non semicontinuous quadratic integral functionals with continuous coefficients
Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics
This paper is devoted to the study of a class of hemivariational inequalities which was introduced by P. D. Panagiotopoulos [31] and later by Z. Naniewicz [22]. These variational formulations are natural nonconvex generalizations [15–17], [22–33] of the well-known variational inequalities. Several existence results are proved in [15]. In this paper, we are concerned with some related results and several applications.
Non-coercive variational problems with constraints on the derivatives.
Non-compact lamination convex hulls
Non-compact random generalized games and random quasi-variational inequalities.
Nonconvex duality
Nonconvex Duality and Semicontinuous Proximal Solutions of HJB Equation in Optimal Control
In this work, we study an optimal control problem dealing with differential inclusion. Without requiring Lipschitz condition of the set valued map, it is very hard to look for a solution of the control problem. Our aim is to find estimations of the minimal value, (α), of the cost function of the control problem. For this, we construct an intermediary dual problem leading to a weak duality result, and then, thanks to additional assumptions of monotonicity of proximal subdifferential, we give a more...
Nonexistence of solutions of nonconvex multidimensional variational problems.
Nonholonomic approach of multitime maximum principle.
Nonlinear Commutators and Jacobians.
Nonlinear Duality And Multiplier Theorems.
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.