Ricerca Scientifica
Temi di ricerca
Calcolo delle variazioni:
- Semicontinuità di funzionali integrali quasiconvessi o policonvessi.
- Problemi di minimo per funzionali integrali non convessi o non quasiconvessi del Calcolo delle
Variazioni.
- Misure finitamente additive.
Pubblicazioni
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P. Celada - J. Ok,
Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth,
Nonliear Analysis 194 (2020), 111473
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P. Celada - A. Lunardi,
Traces of Sobolev functions on regular surfaces in infinite dimensions,
Journal of Functional Analysis 266 (2014), 1948-1987
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P. Celada - S. Perrotta,
Polyconvex energies and cavitation ,
NoDEA Nonlinear Differential Equations and Applications 20 (2013), 295-321
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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
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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
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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
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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
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P. Celada - S. Perrotta,
Existence of minimizers for nonconvex, noncoercive simple integrals,
SIAM Journal on Control and Optimization 41 (2002), 1118-1140
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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
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P. Celada - S. Perrotta,
Minimizing nonconvex, simple integrals of product type ,
Journal of Differential Equations 171 (2001), 148-172
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P. Celada - S. Perrotta,
Minimizing nonconvex, multiple integrals: a density result,
Proceedings of the Royal Society of Edinburgh 130A (2000), 721-741
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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
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P. Celada - S. Perrotta,
Vectorial Hamilton-Jacobi equations with rank one affine dependence on the gradient,
Nonlinear Analysis TMA 41 (2000), 383-404
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P. Celada - S. Perrotta,
Functions with prescribed singular values of the gradient,
NoDEA Nonlinear Differential Equations and Applications 5 (1998), 383-396
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P. Celada - S. Perrotta - G. Treu,
Existence of solutions for a class of non convex minimum problems,
Mathematische Zeitschrift 228 (1998), 177-199
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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
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P. Celada,
Minimum problems on SBV with irregular boundary datum,
Rendiconti del Seminario Matematico dellUniversità di Padova, 98 (1997), 193-211
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P. Celada,
Densities of Banach-valued finitely additive measures,
Atti del Seminario Matematico e Fisico dellUniversità di Modena, 44 (1996), 175-185
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P. Celada,
Continuity properties of group-valued invariant measures,
Atti del Seminario Matematico e Fisico dellUniversità di Modena, 43 (1995), 53-71
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P. Celada - G. Dal Maso,
Further remarks on the lower semicontinuity of polyconvex integrals,
Annales de lInstitut Henri Poincaré - Analyse non linéaire
11 (1994), 661-691
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P. Celada - A. Lorenzi,
An identification problem related to the bidimensional wave equation,
Bollettino dellUnione Matematica Italiana, Serie B, 6 (1992), 125-145
Tesi
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Some scalar and vectorial problems in the Calculus of Variations,
Supervisor Prof. A. Cellina, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste (1997)
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Un problema di identificazione relativo all'equazione delle onde bidimensionale,
Supervisor Prof. A. Lorenzi, Università degli Studi di Milano, Milano (1989)