Gianni Arioli

Department of Mathematics and MOX - Politecnico di Milano


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Recent papers


G. Arioli, H. Koch, Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation, preprint and computer programs, in print on the Arch. Rat. Mech. An.
G. Arioli, Long term dynamics of a reaction diffusion system, J. Diff. Eq. 235 (2007) 298-307
G. Arioli, V. Barutello, S. Terracini, A new branch of mountain pass solutions for the choreographical 3-body problem, Comm. Math. Phys. 268 2 (2006) 439-463
G. Arioli, F. Gazzola, H.-Ch. Grunau, Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity, J. Diff. Eq. 230 (2006) 743-770
G. Arioli, F. Gazzola, H.-Ch. Grunau, E. Sassone, The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four, NoDEA 15 (2008) 69-90.
G. Arioli, A. Szulkin, W. Zou, Multibump solutions and critical groups, Transactions of the AMS. 361 (2009), 3159-3187
G. Arioli, H. Koch, The critical renormalization fixed point for commuting pairs of area-preserving maps, Comm. Math. Phys. 295 (2010) 415-429
G. Arioli, H. Koch, Integration of dissipative PDEs: a case study, Preprint 2010