Existence Theorems in Quasilinear Optimal Control Problems
Existence theorems of solutions for a system of nonlinear inclusions with an application.
Existence via partial regularity for degenerate systems of variational inequalities with natural growth
We prove the existence of a partially regular solution for a system of degenerate variational inequalities with natural growth.
Extended fractional calculus of variations, complexified geodesics and Wong's fractional equations on complex plane and on Lie algebroids
In this work, we communicate the topic of complex Lie algebroids based on the extended fractional calculus of variations in the complex plane. The complexified Euler-Lagrange geodesics and Wong's fractional equations are derived. Many interesting consequences are explored.
Extended well-posedness for quasivariational inequalities.
Extensions of cyclically monotone mappings
Extensions of minimization theorems and fixed point theorems on a quasimetric space.
External approximation of first order variational problems via W-1,p estimates
Here we present an approximation method for a rather broad class of first order variational problems in spaces of piece-wise constant functions over triangulations of the base domain. The convergence of the method is based on an inequality involving norms obtained by Nečas and on the general framework of Γ-convergence theory.
Extremal functions for the Trudinger-Moser inequality in 2 dimensions.
Extremal solutions to a class of multivalued integral equations in Banach space.
Farkas' lemma of alternative
Fast and heteroclinic solutions for a second order ODE.
Favorable classes of mappings and multimappings in nonlinear analysis and optimization.
Feedback in state constrained optimal control
An optimal control problem is studied, in which the state is required to remain in a compact set . A control feedback law is constructed which, for given , produces -optimal trajectories that satisfy the state constraint universally with respect to all initial conditions in . The construction relies upon a constraint removal technique which utilizes geometric properties of inner approximations of and a related trajectory tracking result. The control feedback is shown to possess a robustness...
Feedback in state constrained optimal control
An optimal control problem is studied, in which the state is required to remain in a compact set S. A control feedback law is constructed which, for given ε > 0, produces ε-optimal trajectories that satisfy the state constraint universally with respect to all initial conditions in S. The construction relies upon a constraint removal technique which utilizes geometric properties of inner approximations of S and a related trajectory tracking result. The control feedback is shown to possess a robustness...
Fenomeni di concentrazione per energie di tipo Ginzburg-Landau
Si discute il comportamento asintotico di energie di tipo Ginzburg-Landau, per funzioni da in , e sotto l'ipotesi che l'esponente di crescita sia strettamente maggiore di . In particolare, si illustra un risultato di compattezza e di -convergenza, rispetto a una opportuna topologia sui Jacobiani, visti come correnti -dimensionali. L'energia limite è definita sulla classe degli -bordi interi , e la sua densità dipende localmente dalla molteplicità di tramite una famiglia di costanti di...
Fictitious domain/mixed finite element approach for a class of optimal shape design problems
Filippov Lemma for matrix fourth order differential inclusions
In the paper we give an analogue of the Filippov Lemma for the fourth order differential inclusions y = y”” - (A² + B²)y” + A²B²y ∈ F(t,y), (*) with the initial conditions y(0) = y’(0) = y”(0) = y”’(0) = 0, (**) where the matrices are commutative and the multifunction is Lipschitz continuous in y with a t-independent constant l < ||A||²||B||². Main theorem. Assume that y₀ ∈ W4,1
Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method.
Finding global minima with a filled function approach for non-smooth global optimization.