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Research Keyword cloud of arXiv preprints by scimeter.org© https://scimeter.org Research areas
Calculus of Variations
Elliptic PDEs
Gamma-convergence
Homogenization
Free-discontinuity problems
Nonlinear elasticity
Publications
Selection Ruf, Matthias; Zeppieri, Caterina Ida . 2023 . “Stochastic homogenization of degenerate integral functionals with linear growth . ” Calculus of Variations and Partial Differential Equations , № 62 (138 ) 138. doi : 10.1007/s00526-023-02476-9 .Cagnetti , Filippo , Dal Maso , Gianni , Scardia , Lucia , and Zeppieri , Caterina Ida . 2022 . “A global method for deterministic and stochastic homogenisation in BV . ” Annals of PDE , № 8 (1 ) : 8 –8 . doi : 10.1007/s40818-022-00119-4 .Cagnetti , Filippo , Dal Maso , Gianni , Scardia , Lucia , and Zeppieri , Caterina Ida . 2019 . “Γ-convergence of free-discontinuity problems . ” Annales de l'Institut Henri Poincaré C. Analyse non linéaire , № 36 (4 ) : 1035 –1079 . doi : 10.1016/j.anihpc.2018.11.003 .Cagnetti , Filippo , Dal Maso , Gianni , Scardia , Lucia , and Zeppieri , Caterina Ida . 2019 . “Stochastic homogenisation of free-discontinuity problems . ” Archive for Rational Mechanics and Analysis , № 233 (2 ) : 935 –974 . doi : 10.1007/s00205-019-01372-x .Barchiesi , Marco , Lazzaroni , Giuliano , and Zeppieri , Caterina Ida . 2016 . “A bridging mechanism in the homogenisation of brittle composites with soft inclusions . ” SIAM Journal on Mathematical Analysis , № 48 (2 ) : 1178 –1209 . doi : 10.1137/15M1007343 .Ansini , Nadia , Dal Maso , Gianni , and Zeppieri , Caterina Ida . 2014 . “New results on Γ-limits of integral functionals . ” Annales de l'Institut Henri Poincaré C. Analyse non linéaire , № 31 : 185 –202 .Müller , Stefan , Scardia , Lucia , and Zeppieri , Caterina Ida . 2014 . “Geometric rigidity for incompatible fields and an application to strain-gradient plasticity . ” Indiana University Mathematics Journal , № 63 (5 ) : 1365 –1396 . doi : 10.1512/iumj.2014.63.5330 .Scardia , Lucia , and Zeppieri , Caterina Ida . 2012 . “Line-tension model for plasticity as the Γ-limit of a nonlinear dislocation energy . ” SIAM Journal on Mathematical Analysis , № 44 (4 ) : 2372 –2400 . doi : 10.1137/110824851 .Ansini , Nadia , and Zeppieri , Caterina Ida . 2012 . “Asymptotic analysis of nonsymmetric linear operators via Γ-convergence . ” SIAM Journal on Mathematical Analysis , № 44 (3 ) : 1617 –1635 . doi : 10.1137/110834330 .Cicalese , Marco , Spadaro , Emanuele Nunzio , and Zeppieri , Caterina Ida . 2011 . “Asymptotic analysis of a second-order singular perturbation model for phase transitions . ” Calculus of Variations and Partial Differential Equations , № 41 (1-2 ) : 127 –150 . doi : 10.1007/s00526-010-0356-9 .Complete List Research Articles (Journals) Lazzaroni, Giuliano; Wozniak, Piotr; Zeppieri, Caterina Ida . 2025 . “Strong approximation of special functions of bounded variation functions with prescribed jump direction . ” Mathematical News / Mathematische Nachrichten , № 298 (1 ) : 312 –327 . doi : 10.1002/mana.202300346 .Bach, A.; Marziani, R.; Zeppieri, C.I. . 2023 . “Γ-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals . ” Calculus of Variations and Partial Differential Equations , № 62 (199 )Bach, A.; Esposito, T.; Marziani, R; Zeppieri, C.I. . 2023 . “Gradient Damage Models for Heterogeneous Materials . ” SIAM Journal on Mathematical Analysis , № 55 (4 ) doi : 10.1137/22M1499145 .Ruf, Matthias; Zeppieri, Caterina Ida . 2023 . “Stochastic homogenization of degenerate integral functionals with linear growth . ” Calculus of Variations and Partial Differential Equations , № 62 (138 ) 138. doi : 10.1007/s00526-023-02476-9 .D'Onofrio, C.; Zeppieri, C.I. . 2023 . “Gamma-convergence and stochastic homogenisation of degenerate integral functionals in weighted Sobolev spaces . ” Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , № 153 (2 )Pellet, X.; Scardia, L.; Zeppieri, C.I. . 2023 . “Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains . ” Advances in Calculus of Variations , № 17 (3 ) doi : 10.1515/acv-2022-0052 .Cagnetti , Filippo , Dal Maso , Gianni , Scardia , Lucia , and Zeppieri , Caterina Ida . 2022 . “A global method for deterministic and stochastic homogenisation in BV . ” Annals of PDE , № 8 (1 ) : 8 –8 . doi : 10.1007/s40818-022-00119-4 .Cicalese, M; Focardi, M.; Zeppieri, C.I. . 2021 . “Phase-Field Approximation of Functionals Defined on Piecewise-Rigid Maps . ” Journal of Nonlinear Science , № 31 (78 )Bach, A; Braides, A.; Zeppieri, C.I. . 2020 . “Quantitative analysis of finite-difference approximations of free-discontinuity problems . ” Interfaces and Free Boundaries , № 22 doi : 10.4171/IFB/443 .Zeppieri, C.I. . 2020 . “Homogenisation of high-contrast brittle materials . ” Mathematics in Engineering , № 2 (1 )Cagnetti , Filippo , Dal Maso , Gianni , Scardia , Lucia , and Zeppieri , Caterina Ida . 2019 . “Γ-convergence of free-discontinuity problems . ” Annales de l'Institut Henri Poincaré C. Analyse non linéaire , № 36 (4 ) : 1035 –1079 . doi : 10.1016/j.anihpc.2018.11.003 .Cagnetti , Filippo , Dal Maso , Gianni , Scardia , Lucia , and Zeppieri , Caterina Ida . 2019 . “Stochastic homogenisation of free-discontinuity problems . ” Archive for Rational Mechanics and Analysis , № 233 (2 ) : 935 –974 . doi : 10.1007/s00205-019-01372-x .Pellet , X , Scardia , L , and Zeppieri , C I . 2019 . “Homogenization of high-contrast Mumford-Shah energies . ” SIAM J. Math. Anal. , № 51 : 1696 –1729 .I. , Zeppieri C. 2016 . “Stochastic homogenisation of singularly-perturbed integral functionals . ” Ann. Mat. Pura Appl. , № 195 Bevan , J J , and Zeppieri , C I . 2016 . “A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation . ” Calc. Var. Partial Diff. Equations , № 55 Barchiesi , Marco , Lazzaroni , Giuliano , and Zeppieri , Caterina Ida . 2016 . “A bridging mechanism in the homogenisation of brittle composites with soft inclusions . ” SIAM Journal on Mathematical Analysis , № 48 (2 ) : 1178 –1209 . doi : 10.1137/15M1007343 .Burger , Martin , Esposito , Teresa , and Zeppieri , Caterina Ida . 2015 . “Second-order edge-penalization in the Ambrosio-Tortorelli functional . ” Multiscale Model. Simul. , № 13 (4 ) : 1354 –1389 .Ansini , Nadia , Dal Maso , Gianni , and Zeppieri , Caterina Ida . 2014 . “New results on Γ-limits of integral functionals . ” Annales de l'Institut Henri Poincaré C. Analyse non linéaire , № 31 : 185 –202 .Müller , Stefan , Scardia , Lucia , and Zeppieri , Caterina Ida . 2014 . “Geometric rigidity for incompatible fields and an application to strain-gradient plasticity . ” Indiana University Mathematics Journal , № 63 (5 ) : 1365 –1396 . doi : 10.1512/iumj.2014.63.5330 .Ansini , N , Dal , Maso G , and Zeppieri , C.I. 2013 . “Γ-convergence and H-convergence of linear elliptic operators . ” J. Math. Pures Appl. , № 99 : 321 –329 .Scardia , Lucia , and Zeppieri , Caterina Ida . 2012 . “Line-tension model for plasticity as the Γ-limit of a nonlinear dislocation energy . ” SIAM Journal on Mathematical Analysis , № 44 (4 ) : 2372 –2400 . doi : 10.1137/110824851 .Ansini , Nadia , and Zeppieri , Caterina Ida . 2012 . “Asymptotic analysis of nonsymmetric linear operators via Γ-convergence . ” SIAM Journal on Mathematical Analysis , № 44 (3 ) : 1617 –1635 . doi : 10.1137/110834330 .Cicalese , Marco , Spadaro , Emanuele Nunzio , and Zeppieri , Caterina Ida . 2011 . “Asymptotic analysis of a second-order singular perturbation model for phase transitions . ” Calculus of Variations and Partial Differential Equations , № 41 (1-2 ) : 127 –150 . doi : 10.1007/s00526-010-0356-9 .Dal , Maso G , and Zeppieri , C.I. 2010 . “Homogenization of fiber reinforced brittle materials: The intermediate case . ” Advances in Calculus of Variations , № 3 (4 ) : 345 –370 . doi : 10.1515/ACV.2010.011 .Braides , A , and Zeppieri , C.I. 2009 . “Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy . ” Interfaces and Free Boundaries , № 11 (1 ) : 61 –108 .Cicalese , M , DeSimone , A , and Zeppieri , C.I. 2009 . “Discrete-to-continuum limits for strain-alignment-coupled systems: Magnetostrictive solids, ferroelectric crystals and nematic elastomers . ” Networks and Heterogeneous Media , № 4 (4 ) : 667 –708 . doi : 10.3934/nhm.2009.4.667 .Ansini , N , Babadjian , J.F. , and Zeppieri , C.I. 2007 . “The Neumann sieve problem and dimensional reduction: A multiscale approach . ” Mathematical Models and Methods in Applied Sciences , № 17 (5 ) : 681 –735 . doi : 10.1142/S0218202507002078 .Braides , A , and Zeppieri , C.I. 2007 . “A note on equi-integrability in dimension reduction problems . ” Calculus of Variations and Partial Differential Equations , № 29 (2 ) : 231 –238 . doi : 10.1007/s00526-006-0065-6 .Research Article (Book Contributions)