GNAMPA Project 2015Nonlinear nonlocal functionals (Analisi di funzionali non lineari non locali)
Collaborators: Agnese Di Castro (Sapienza Roma), Janne Korvenpaa (Aalto University), Tuomo Kuusi (Aalto University), Casimir Lindfors (Aalto University), Giuseppe Mingione (University of Parma), Massimiliano Morini (University of Parma), Adriano Pisante (Sapienza Roma), Yannick Sire (LATP Marseille)
Visitors:
- Tuomo Kuusi, in Parma, Early 2016 (scheduled)
Visiting:
- [P. Baroni]: G. Mingione, in ETH Zurich, March 8--24, 2015; May 10--22, 2015
- [P. Baroni]: S. S. Byun, in Seoul, December 7--13, 2015
- [R. Cristoferi]: M. Morini, in Parma, July 28, 2015; August 2, 2015; September 21, 2015
- [G. Palatucci]: E. Di Nezza, in Imperial College London, October 21--25, 2015
- [G. Palatucci]: A. Di Castro, A. Pisante, in Sapienza Universita di Roma, September 15--19, 2015; January 25--28, 2016; January 31 - February 13, 2016
Seminars:
- P. Baroni: Mathematics dept. of Aalto University, Helsinki [Talk: Regularity results for a class of non-autonomous functionals in a borderline case, March 25, 2015]
- G. Palatucci: Conference on Partial Differential Equations (COPDE 2015), Technische Universität München [Talk: Dislocation dynamics in crystals, March 28, 2015]
- G. Palatucci: Dipartimento di Matematica, University of Padova [Talk: Dinamica delle dislocazioni nei cristalli, April 15, 2015]
- G. Palatucci: Dipartimento di Matematica e Informatica, University of Parma [Talk: Dinamica delle dislocazioni nei cristalli, May 20, 2015]
- R. Cristoferi: Seminario di Analisi Nonlineare, Carnegie Mellon University [Talk: On local and global minimizers of two sharp Otha-Kawasaki energy, September 1, 2015]
- P. Baroni: XX Congresso UMI, Siena [Talk: Continuità del gradiente per minimi di funzionali non differenziabili, September 8, 2015]
- P. Baroni: 2nd Conference on Recent Trends in Nonlinear Phenomena, Napoli [Talk: Regularity results for a class of non-autonomous functionals in a borderline case, November 5, 2015]
- G. Palatucci: PDE 2015, WIAS, Berlin, Germany [Talk: The obstacle problems for nonlocal integro-differential operators, December 1, 2016]
- P. Baroni: Workshop in PDE, Department of Mathematical Sciences of Seoul National University, Seoul [Talk: Regularity results for a class of non-autonomous functionals in a borderline case, December 11, 2015]
- G. Palatucci: XXVI Convegno Nazionale di Calcolo delle Variazioni, Levico T. (TN) [Talk: Equazioni non locali non lineari: il problema dell’ostacolo e regolarita fino al bordo, January 19, 2016]
- P. Baroni: Workshop Proprieta analitico geometriche di soluzioni di EDP, Universita ``Federico II’’, Napoli [Talk: Soluzioni continue per il problema di Stefan degenere, January 25-27, 2016]
Pubblications and preprints:
- P. Baroni, C. Lindfors: The Cauchy-Dirichlet problem for a general class of parabolic equations - Ann. Inst. H. Poincaré Anal. Non Linéaire - preprint here
- P. Baroni, A. Di Castro, G. Palatucci: Intrinsic geometry and De Giorgi classes for certain anisotropic problems - preprint here
- R. Cristoferi: On periodic critical points and local minimizers of the Ohta-Kawasaki functional - preprint here
- G. De Philippis, G. Franzina, A. Pratelli: Existence of isoperimetric sets with densities “converging from below” on \R^n - J. Geom. Anal. - preprint here
- G. Franzina, A. Pisante, M. Ponsiglione: Phase transitions and hypersurfaces of prescribed mean curvature in the hyperbolic space - in preparation
- J. Korvenpaa, T. Kuusi, G. Palatucci: The obstacle problem for nonlinear integro-differential operators - preprint here
- J. Korvenpaa, T. Kuusi, G. Palatucci: Holder continuity up to the boundary for a class of fractional obstacle problems - Rend. Mat. Acc. Lincei - preprint here
- J. Korvenpaa, T. Kuusi, G. Palatucci: Superharmonic functions, supersolutions, and Perron’s method for nonlinear integro-differential equations - preprint here