Scientific Book

R. Alicandro, N. Ansini, A. Braides,  A. Piatnitski and A. Tribuzio. A Variational Theory of Convolution-type Functionals. Book series Springer Briefs on PDEs and Data Science, Springer Nature Singapore, p.1-121.  (May 2023). 

https://link.springer.com/book/10.1007/978-981-99-0685-7

Published on Journals

•  N. Ansini, S. Fagioli. Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation. In: Comm. Math. Sci.  18 (2020), 459–486.

• N. Ansini, A. Bradies and J. Zimmer. Minimising movements for oscillating energies: the critical regime. In: Proc. Roy. Soc. Edinb. Section A: Mathematics 149 (2019), 719-737.

•  N. Ansini e F. Prinari. On the lower semicontinuity of supremal functional under differential constraints. In: ESAIM: Control, Optimisation and Calculus of Variations 21 (2015), 1053-1075. 

•  R. Alicandro e N. Ansini. A variational model of interactions between continuum and discrete. In: Mathematical Models and Methods in Applied Sciences (M3AS) 24 (2014), 1957-2008. 

• N. Ansini, G. Dal Maso e C.I. Zeppieri. New results on Gamma-limits of integral functionals. In: Ann. Ist. H. Poincaré Anal. Non Linéaire 31 (2014), 185-202. 

•  N. Ansini e F. Prinari. Power-law approximation under differential constraints. In: SIAM Journal on Mathematical Analysis 46 (2014), 1085-1115.

• N. Ansini, G. Dal Maso e C.I. Zeppieri. Gamma-convergence and H-convergence of linear elliptic operators. In: J.Math.Pures Appl. 99 (2013), 321-329.

•  N. Ansini and C.I. Zeppieri. Asymptotic analysis of non-symmetric linear operators via Gamma-convergence. In: SIAM Journal on Mathematical Analysis 44 (2012), 1617-1635.

• N. Ansini and O. Iosifescu. Approximation of Anisotropic Perimeter Functionals by Homogenization. In: Boll. Un. Mat. Ital. 3 (2010), 149-168.

• N. Ansini and V. Valente. On a nonlocal functional arising in the study of thin-film blistering, In: Analysis and Applications 8 (2010), 109-123.

• N. Ansini and A. Garroni. Gamma-convergence of Functionals on Divergence Free Fields. In: ESAIM: Control, Optimisation and Calculus of Variations 13 (2007), 809-828.

• N. Ansini, J.F. Babadjian and C.I. Zeppieri. The Neumann Sieve Problem and Dimensional Reduction: a Multiscale Approach. In: Mathematical Models and Methods in Applied Sciences (M3AS) 17 (2007), 681-735. 

• N. Ansini, A. Braides and V. Valente. Multi-scale Analysis by Gamma-convergence of a One-dimensional Non-local Functional Related to a Shell-membrane Transition. In: SIAM Journal on Mathematical Analysis 38 (2006), 944-976. 

•  Erratum to Asymptotic Analysis of Periodically Perforated Nonlinear Media. In: J. Math. Pures Appl. 84 (2005), 147-148.

• N. Ansini. The Nonlinear Sieve Problem and Applications to Thin Films. In: Asymptotic Analysis 39 (2) (2004), 113-145. 

• N. Ansini, A. Braides and V. Chiado Piat. Gradient Theory of Phase Transitions in Composite Media. In: Proc. Roy. Soc. Edinb. Section A: Mathematics 133 (2003), 265-296. 

• N. Ansini and A. Braides. Asymptotic Analysis of Periodically Perforated Nonlinear Media. In: J. Math. Pures Appl. 81 (2002), 439-451. 

• N. Ansini and A. Braides. Separation of Scales and Almost-Periodic Effects in the Asymptotic Behaviour of Perforated Periodic Media. In: Acta Appl. Math. 65 (2001), 59-81. 

• N. Ansini and F. Bille Ebobisse. Homogenization of Periodic Multi-dimensional Structures: the linearly elastic / perfectly plastic case. In: Adv. Math. Sci. Appl. 11 (2001), 203-225. 

• N. Ansini and A. Braides. Homogenization of Oscillating Boundaries and Applications to Thin Films. In : J. d'Analyse Mathematique 83 (2001), 151-182. 

• N. Ansini, A. Braides and V. Chiado Piat. Homogenization of Periodic Multi-dimensional Structures. In: Boll. Un. Mat. Ital. (8) 2-B (1999), 735-758. 

Chapter in a book

 N. Ansini and B. Dacorogna. Chapter 8.2.4: Lower Semicontinuity for General Quasiconvex Functions for 1<= p< n, pp.381. In: B. Dacorogna. Direct Methods in the Calculus of Variations. Second Ed. Vol. 78. Applied Mathematical Sciences. New York: Springer, 2008.

Conference Proceedings 

•  N. Ansini. Gradient flows with wiggly potential: a variational approach to the dynamics. In: van Meurs P., Kimura M., Notsu H. (eds) Mathematical Analysis of Continuum Mechanics and Industrial Applications II. CoMFoS 2016. Mathematics for Industry, vol 30. Springer, (2018), 139-151.

• N. Ansini, A. Braides and V. Chiadò Piat. Interactions between Homogenization and Phase-Transition Processes. In: Proceedings of the International Conference, Suzdal (Vladimir, Russia), 21-26/8/2000. Proceedings of the Steklov Institute of Mathematics 236 (2002), 373–385.

Monographs

•   N. Ansini. Indagine Analitica su Metodi Variazionali per lo Studio Matematico del Blistering di Pellicole Sottili. Opus n. 124 (4/2007) CNR Roma IAC, 2007.

• Ph.D. Thesis. N. Ansini. Homogenization Problems for Multi-dimensional and Multi-scale Structures. SISSA Ph.D. Thesis 2000.