Ricerca Scientifica

Temi di ricerca

Calcolo delle variazioni:

  1. Semicontinuità di funzionali integrali quasiconvessi o policonvessi.
  2. Problemi di minimo per funzionali integrali non convessi o non quasiconvessi del Calcolo delle Variazioni.
  3. Misure finitamente additive.

Pubblicazioni

  1. P. Celada - J. Ok, Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth,
    Nonliear Analysis 194 (2020), 111473
  2. P. Celada - A. Lunardi, Traces of Sobolev functions on regular surfaces in infinite dimensions,
    Journal of Functional Analysis 266 (2014), 1948-1987
  3. P. Celada - S. Perrotta, Polyconvex energies and cavitation ,
    NoDEA Nonlinear Differential Equations and Applications 20 (2013), 295-321
  4. P. Celada - S. Perrotta, On a class of nonconvex Bolza problems related to Blatz-Ko elastic materials,
    SIAM Journal on Mathematical Analysis 39 (2007), 838--862
  5. P. Celada - G. Cupini - M. Guidorzi, Existence and regularity of minimizers of nonconvex integrals with p-q growth,
    ESAIM Control, Optimisation and Calculus of Variations 13 (2007), 343--358
  6. P. Celada - G. Cupini - M. Guidorzi, On the existence of minimizers for nonconvex variational problems,
    Far East Journal of Applied Mathematics 15 (2004), 427--458
  7. P. Celada - G. Cupini - M. Guidorzi, A sharp attainment result for nonconvex variational problems,
    Calculus of Variations and Partial Differential Equations 20 (2004), 301-328
  8. P. Celada - S. Perrotta, Existence of minimizers for nonconvex, noncoercive simple integrals,
    SIAM Journal on Control and Optimization 41 (2002), 1118-1140
  9. P. Celada - S. Perrotta, On the minimum problem for nonconvex, multiple integrals of product type,
    Calculus of Variations and Partial Differential Equations 12 (2001), 371-398
  10. P. Celada - S. Perrotta, Minimizing nonconvex, simple integrals of product type ,
    Journal of Differential Equations 171 (2001), 148-172
  11. P. Celada - S. Perrotta, Minimizing nonconvex, multiple integrals: a density result,
    Proceedings of the Royal Society of Edinburgh 130A (2000), 721-741
  12. P. Celada, Existence and regularity of minimizers of nonconvex functionals depending on u and grad u,
    Journal of Mathematical Analysis and Applications 230 (1999), 30-56
  13. P. Celada - S. Perrotta, Vectorial Hamilton-Jacobi equations with rank one affine dependence on the gradient,
    Nonlinear Analysis TMA 41 (2000), 383-404
  14. P. Celada - S. Perrotta, Functions with prescribed singular values of the gradient,
    NoDEA Nonlinear Differential Equations and Applications 5 (1998), 383-396
  15. P. Celada - S. Perrotta - G. Treu, Existence of solutions for a class of non convex minimum problems,
    Mathematische Zeitschrift 228 (1998), 177-199
  16. P. Celada - A. Cellina, Existence and non existence of solutions to a variational problem on a square,
    Houston Journal of Mathematics, 24 (1998), 345-375
  17. P. Celada, Minimum problems on SBV with irregular boundary datum,
    Rendiconti del Seminario Matematico dell’Università di Padova, 98 (1997), 193-211
  18. P. Celada, Densities of Banach-valued finitely additive measures,
    Atti del Seminario Matematico e Fisico dell’Università di Modena, 44 (1996), 175-185
  19. P. Celada, Continuity properties of group-valued invariant measures,
    Atti del Seminario Matematico e Fisico dell’Università di Modena, 43 (1995), 53-71
  20. P. Celada - G. Dal Maso, Further remarks on the lower semicontinuity of polyconvex integrals,
    Annales de l’Institut Henri Poincaré - Analyse non linéaire 11 (1994), 661-691
  21. P. Celada - A. Lorenzi, An identification problem related to the bidimensional wave equation,
    Bollettino dell’Unione Matematica Italiana, Serie B, 6 (1992), 125-145

Tesi

  1. Some scalar and vectorial problems in the Calculus of Variations,
    Supervisor Prof. A. Cellina, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (1997)
  2. Un problema di identificazione relativo all'equazione delle onde bidimensionale,
    Supervisor Prof. A. Lorenzi, Università degli Studi di Milano, Milano (1989)