Recent papers
Conferences
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.