13 citations · 32 across the 5 of their papers we have counts for
5 papers
Local boundedness for weak solutions to some quasilinear elliptic systems
Salvatore Leonardi, Francesco Leonetti, Cristina Pignotti +2
We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi's counterexample. Here we ass…
The effect of immigrant communities coming from higher incidence tuberculosis regions to a host country
Eugenio M. Rocha, Cristiana J. Silva, Delfim F. M. Torres
We introduce a new tuberculosis (TB) mathematical model, with state-space variables where are evolution disease states (EDSs), which generalises previous models and takes…
Symbolic Computation of Variational Symmetries in Optimal Control
Paulo D. F. Gouveia, Delfim F. M. Torres, Eugenio A. M. Rocha
We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noet…
Quadratures of Pontryagin Extremals for Optimal Control Problems
Eugenio A. M. Rocha, Delfim F. M. Torres
We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrabil…
First Integrals for Problems of Calculus of Variations on Locally Convex Spaces
Eugenio A. M. Rocha, Delfim F. M. Torres
The fundamental problem of calculus of variations is considered when solutions are differentiable curves on locally convex spaces. Such problems admit an extension of the Euler-Lag…