Fonseca, Irene; Liu, Pan; Lu, Xin Yang Higher order Ambrosio-Tortorelli scheme with non-negative spatially dependent parameters. (English) Zbl 1528.49020 Adv. Calc. Var. 16, No. 4, 885-902 (2023). MSC: 49K21 49J21 49J45 PDFBibTeX XMLCite \textit{I. Fonseca} et al., Adv. Calc. Var. 16, No. 4, 885--902 (2023; Zbl 1528.49020) Full Text: DOI
Babadjian, Jean-François; Di Fratta, Giovanni; Fonseca, Irene; Francfort, Gilles A.; Lewicka, Marta; Muratov, Cyrill B. The mathematics of thin structures. (English) Zbl 1511.49011 Q. Appl. Math. 81, No. 1, 1-64 (2023). Reviewer: Faitori Omer Salem (Tripoli) MSC: 49J45 49S05 74B20 74K20 74K35 53A35 PDFBibTeX XMLCite \textit{J.-F. Babadjian} et al., Q. Appl. Math. 81, No. 1, 1--64 (2023; Zbl 1511.49011) Full Text: DOI
Cristoferi, Riccardo; Fonseca, Irene; Hagerty, Adrian; Popovici, Cristina A homogenization result in the gradient theory of phase transitions. (English) Zbl 1425.74389 Interfaces Free Bound. 21, No. 3, 367-408 (2019); erratum ibid. 22, No. 2, 245-250 (2020). MSC: 74Q05 82B26 49Q20 PDFBibTeX XMLCite \textit{R. Cristoferi} et al., Interfaces Free Bound. 21, No. 3, 367--408 (2019; Zbl 1425.74389) Full Text: DOI arXiv
Fonseca, Irene; Liu, Pan The weighted Ambrosio-Tortorelli approximation scheme. (English) Zbl 1381.49050 SIAM J. Math. Anal. 49, No. 6, 4491-4520 (2017). Reviewer: Mohammad Sadegh Shahrokhi-Dehkordi (Tehran) MSC: 49Q20 49J45 28A25 26B30 PDFBibTeX XMLCite \textit{I. Fonseca} and \textit{P. Liu}, SIAM J. Math. Anal. 49, No. 6, 4491--4520 (2017; Zbl 1381.49050) Full Text: DOI arXiv
Fonseca, Irene; Hayrapetyan, Gurgen; Leoni, Giovanni; Zwicknagl, Barbara Domain formation in membranes near the onset of instability. (English) Zbl 1353.49013 J. Nonlinear Sci. 26, No. 5, 1191-1225 (2016). MSC: 49J45 74K15 PDFBibTeX XMLCite \textit{I. Fonseca} et al., J. Nonlinear Sci. 26, No. 5, 1191--1225 (2016; Zbl 1353.49013) Full Text: DOI arXiv
Davoli, Elisa; Fonseca, Irene Homogenization of integral energies under periodically oscillating differential constraints. (English) Zbl 1347.49017 Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 69, 60 p. (2016). Reviewer: Igor Bock (Bratislava) MSC: 49J45 35D99 49K20 PDFBibTeX XMLCite \textit{E. Davoli} and \textit{I. Fonseca}, Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 69, 60 p. (2016; Zbl 1347.49017) Full Text: DOI arXiv
Dal Maso, Gianni; Fonseca, Irene; Leoni, Giovanni Second order asymptotic development for the anisotropic Cahn-Hilliard functional. (English) Zbl 1329.49020 Calc. Var. Partial Differ. Equ. 54, No. 1, 1119-1145 (2015). Reviewer: Maxim Ivanov Todorov (San Andres Cholula) MSC: 49J45 49Q20 35B25 PDFBibTeX XMLCite \textit{G. Dal Maso} et al., Calc. Var. Partial Differ. Equ. 54, No. 1, 1119--1145 (2015; Zbl 1329.49020) Full Text: DOI arXiv
Fonseca, I.; Fusco, N.; Leoni, G.; Morini, M. Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results. (English) Zbl 1126.74029 Arch. Ration. Mech. Anal. 186, No. 3, 477-537 (2007). MSC: 74K35 74E15 74G25 74G55 74G65 PDFBibTeX XMLCite \textit{I. Fonseca} et al., Arch. Ration. Mech. Anal. 186, No. 3, 477--537 (2007; Zbl 1126.74029) Full Text: DOI
Fonseca, Irene; Francfort, Gilles; Leoni, Giovanni Thin elastic films: the impact of higher order perturbations. (English) Zbl 1131.49027 Q. Appl. Math. 65, No. 1, 69-98 (2007). MSC: 49N90 74K15 49S05 PDFBibTeX XMLCite \textit{I. Fonseca} et al., Q. Appl. Math. 65, No. 1, 69--98 (2007; Zbl 1131.49027) Full Text: DOI
Fonseca, Irene; Leoni, Giovanni; Malý, Jan Weak continuity and lower semicontinuity results for determinants. (English) Zbl 1081.49013 Arch. Ration. Mech. Anal. 178, No. 3, 411-448 (2005). MSC: 49J45 49N60 PDFBibTeX XMLCite \textit{I. Fonseca} et al., Arch. Ration. Mech. Anal. 178, No. 3, 411--448 (2005; Zbl 1081.49013) Full Text: DOI
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto On Hessian matrices in the space \(BH\). (English) Zbl 1102.49021 Commun. Contemp. Math. 7, No. 4, 401-420 (2005). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 49Q20 74R99 74S05 74G65 PDFBibTeX XMLCite \textit{I. Fonseca} et al., Commun. Contemp. Math. 7, No. 4, 401--420 (2005; Zbl 1102.49021) Full Text: DOI
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo On the total variation of the Jacobian. (English) Zbl 1041.49016 J. Funct. Anal. 207, No. 1, 1-32 (2004). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49J45 74B20 74G70 PDFBibTeX XMLCite \textit{I. Fonseca} et al., J. Funct. Anal. 207, No. 1, 1--32 (2004; Zbl 1041.49016) Full Text: DOI
Conti, Sergio; Fonseca, Irene; Leoni, Giovanni A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. (English) Zbl 1029.49040 Commun. Pure Appl. Math. 55, No. 7, 857-936 (2002). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49Q20 35B25 49J45 26D10 49J10 74G65 74N15 PDFBibTeX XMLCite \textit{S. Conti} et al., Commun. Pure Appl. Math. 55, No. 7, 857--936 (2002; Zbl 1029.49040) Full Text: DOI
Fonseca, Irene; Francfort, Gilles On the inadequacy of the scaling of linear elasticity for 3D-2D asymptotics in a nonlinear setting. (English) Zbl 1029.35216 J. Math. Pures Appl., IX. Sér. 80, No. 5, 547-562 (2001). MSC: 35Q72 35B27 74B20 74K20 74K35 74Q05 PDFBibTeX XMLCite \textit{I. Fonseca} and \textit{G. Francfort}, J. Math. Pures Appl. (9) 80, No. 5, 547--562 (2001; Zbl 1029.35216) Full Text: DOI
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni A-quasiconvexity: Relaxation and homogenization. (English) Zbl 0971.35010 ESAIM, Control Optim. Calc. Var. 5, 539-577 (2000). Reviewer: L.Ambrosio (Pisa) MSC: 35B27 49J45 PDFBibTeX XMLCite \textit{A. Braides} et al., ESAIM, Control Optim. Calc. Var. 5, 539--577 (2000; Zbl 0971.35010) Full Text: DOI EuDML
Choksi, Rustum; Fonseca, Irene A change of variables formula for mappings in \(\mathbf{BV}\). (English) Zbl 0883.49029 Proc. Am. Math. Soc. 125, No. 7, 2065-2072 (1997). Reviewer: L.Ambrosio (Pavia) MSC: 49Q20 26B30 74R99 74B10 PDFBibTeX XMLCite \textit{R. Choksi} and \textit{I. Fonseca}, Proc. Am. Math. Soc. 125, No. 7, 2065--2072 (1997; Zbl 0883.49029) Full Text: DOI