Recent papers


Conferenza Unione Matematica Italiana  The Euler Lagrange equation and the Pontriagin Maximum Principle
Conferenza Lagrangiana   A View on Differential Inclusions
Conferenza Istituto Lombardo Accademia di Scienze e Lettere  Solutions to Variational Problems and the Strong Maximum Principle
Conferenza Aveiro  Strict Convexity, Comparison Results and Existence of Solutions to Variational Problems

Recent Research Papers

A. Cellina, F. Monti, M. Spadoni:  On the strong convergence of derivatives in a time optimal problem
A. Cellina:  Uniqueness and Comparison results for functionals depending on u and on \nabla u
A. Cellina:  Comparison results and estimates on the gradient without strict convexity
S. Bertone, A. Cellina:  On the Existence of Variations, Possibly with Pointwise Gradient Constraints accepted for publication in ESAIM:COCV.
S. Bertone, A. Cellina, E.M. Marchini: On Hopf's Lemma and the Strong Maximum Principle, to appear on Communications in Partial Differential Equations
 Cellina, A.; Ferriero, A.; Marchini, E. M. On the existence of solutions to a class of minimum time control problems and applications to Fermat's principle and to the Brachystocrone. Systems Control Lett. 55 (2006), no. 2, 119--123
Cellina, Arrigo The classical problem of the calculus of variations in the autonomous case: relaxation and Lipschitzianity of solutions. Trans. Amer. Math. Soc. 356 (2004), no. 1, 415--426
 Cellina, A.; Ferriero, A. Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case. Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 6, 911--919
Cellina, A.; Ferriero, A.; Marchini, E. M. Reparametrizations and approximate values of integrals of the calculus of variations. J. Differential Equations 193 (2003), no. 2, 374--384
 Cellina, Arrigo; Ornelas, António Existence of solutions to differential inclusions and to time optimal control problems in the autonomous case. SIAM J. Control Optim. 42 (2003), no. 1, 260--265
Cellina, Arrigo On a constrained Dirichlet problem. SIAM J. Control Optim. 41 (2002)
 Cellina, Arrigo On the strong maximum principle. Proc. Amer. Math. Soc. 130 (2002), no. 2, 413--418
 Cellina, Arrigo On the bounded slope condition and the validity of the Euler Lagrange equation. SIAM J. Control Optim. 40 (2001/02), no. 4, 1270--1279 
Cellina, Arrigo On the validity of the Euler-Lagrange equation. J. Differential Equations 171 (2001), no. 2, 430--442.