Alberti, Giovanni; Buttazzo, Giuseppe; Bianco, Serena Guarino Lo; Oudet, Édouard Optimal reinforcing networks for elastic membranes. (English) Zbl 1426.49012 Netw. Heterog. Media 14, No. 3, 589-615 (2019). MSC: 49J45 49Q10 35R35 35J25 49M05 PDFBibTeX XMLCite \textit{G. Alberti} et al., Netw. Heterog. Media 14, No. 3, 589--615 (2019; Zbl 1426.49012) Full Text: DOI arXiv
Alberti, Giovanni; Ottolini, Martino On the structure of continua with finite length and Gołąb’s semicontinuity theorem. (English) Zbl 1359.28001 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 153, 35-55 (2017). MSC: 28A75 54F50 26A45 49J45 49Q20 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{M. Ottolini}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 153, 35--55 (2017; Zbl 1359.28001) Full Text: DOI arXiv
Alberti, Giovanni; DeSimone, Antonio Wetting of rough surfaces: a homogenization approach. (English) Zbl 1145.82321 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2053, 79-97 (2005). MSC: 82B24 35B27 49J45 76B45 76M30 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{A. DeSimone}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2053, 79--97 (2005; Zbl 1145.82321) Full Text: DOI
Alberti, G.; Baldo, S.; Orlandi, G. Variational convergence for functionals of Ginzburg-Landau type. (English) Zbl 1160.35013 Indiana Univ. Math. J. 54, No. 5, 1411-1472 (2005). Reviewer: Tamaz Tadumadze (Tbilisi) MSC: 35B40 35J45 49Q15 49Q20 49J45 PDFBibTeX XMLCite \textit{G. Alberti} et al., Indiana Univ. Math. J. 54, No. 5, 1411--1472 (2005; Zbl 1160.35013) Full Text: DOI Link
Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni The calibration method for the Mumford-Shah functional and free-discontinuity problems. (English) Zbl 1015.49008 Calc. Var. Partial Differ. Equ. 16, No. 3, 299-333 (2003). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49J45 49K10 49Q20 PDFBibTeX XMLCite \textit{G. Alberti} et al., Calc. Var. Partial Differ. Equ. 16, No. 3, 299--333 (2003; Zbl 1015.49008) Full Text: DOI arXiv
Alberti, Giovanni A result of variational convergence for functions of Ginzburg-Landau type in arbitrary dimension. (Italian) Zbl 1036.49021 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 4, No. 2, 289-310 (2001). Reviewer: Luigi Ambrosio (Pisa) MSC: 49J45 PDFBibTeX XMLCite \textit{G. Alberti}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 4, No. 2, 289--310 (2001; Zbl 1036.49021) Full Text: EuDML
Alberti, Giovanni; Müller, Stefan A new approach to variational problems with multiple scales. (English) Zbl 1021.49012 Commun. Pure Appl. Math. 54, No. 7, 761-825 (2001). Reviewer: G.Alberti (Pisa) MSC: 49J45 34E15 49Q20 74B20 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{S. Müller}, Commun. Pure Appl. Math. 54, No. 7, 761--825 (2001; Zbl 1021.49012) Full Text: DOI
Alberti, Giovanni A variational convergence result for functionals of Ginzburg-Landau type in any dimension. (English) Zbl 0997.49002 Proceedings of the 16th national congress of the Italian Mathematical Society, Napoli, Italy, September 13-18, 1999. Bologna: Unione Matematica Italiana, 383-404 (2000). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 49J35 49J45 35J60 58E15 81T13 PDFBibTeX XMLCite \textit{G. Alberti}, in: Atti del sedicesimo congresso dell'Unione Matematica Italiana, Napoli, Italia, 13--18 settembre 1999. Bologna: Unione Matematica Italiana. 383--404 (2000; Zbl 0997.49002)
Alberti, Giovanni Some remarks about a notion of rearrangement. (English) Zbl 0977.49009 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 2, 457-472 (2000). Reviewer: Bernhard Kawohl (Köln) MSC: 49J45 26D10 26E20 46E35 PDFBibTeX XMLCite \textit{G. Alberti}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 2, 457--472 (2000; Zbl 0977.49009) Full Text: Numdam EuDML
Alberti, G. Variational models for phase transitions, an approach via \(\Gamma\)-convergence. (English) Zbl 0957.35017 Buttazzo, G. (ed.) et al., Calculus of variations and partial differential equations. Topics on geometrical evolution problems and degree theory. Based on a summer school, Pisa, Italy, September 1996. Berlin: Springer. 95-114, 327-337 (2000). Reviewer: Alina Stancu (Villeneuve D’Ascq) MSC: 35B27 49J45 PDFBibTeX XMLCite \textit{G. Alberti}, in: Calculus of variations and partial differential equations. Topics on geometrical evolution problems and degree theory. Based on a summer school, Pisa, Italy, September 1996. Berlin: Springer. 95--114, 327--337 (2000; Zbl 0957.35017)
Alberti, Giovanni; Bouchitté, Guy; Dal Maso, Gianni The calibration method for the Mumford-Shah functional. (English. Abridged French version) Zbl 0948.49005 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 3, 249-254 (1999). Reviewer: L.Ambrosio (Pisa) MSC: 49J45 49Q20 PDFBibTeX XMLCite \textit{G. Alberti} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 3, 249--254 (1999; Zbl 0948.49005) Full Text: DOI
Alberti, Giovanni; Bellettini, Giovanni A non-local anisotropic model for phase transitions: Asymptotic behaviour of rescaled energies. (English) Zbl 0932.49018 Eur. J. Appl. Math. 9, No. 3, 261-284 (1998). Reviewer: Z.Denkowski (Kraków) MSC: 49J45 82B26 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{G. Bellettini}, Eur. J. Appl. Math. 9, No. 3, 261--284 (1998; Zbl 0932.49018) Full Text: DOI
Alberti, Giovanni; Bellettini, Giovanni A nonlocal anisotropic model for phase transitions. (English) Zbl 0891.49021 Math. Ann. 310, No. 3, 527-560 (1998). Reviewer: G.Alberti and G.Belletini (Pisa) MSC: 49N45 82B24 47J05 49J45 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{G. Bellettini}, Math. Ann. 310, No. 3, 527--560 (1998; Zbl 0891.49021) Full Text: DOI
Alberti, Giovanni; Majer, Pietro Gap phenomenon for some autonomous functionals. (English) Zbl 0817.49013 J. Convex Anal. 1, No. 1, 31-45 (1994). MSC: 49J45 49K10 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{P. Majer}, J. Convex Anal. 1, No. 1, 31--45 (1994; Zbl 0817.49013) Full Text: EuDML EMIS
Alberti, Giovanni; Bouchitté, Guy; Seppecher, Pierre A singular perturbation result involving the \(H^{1/2}\) norm. (Un résultat de perturbations singulières avec la norme \(H^{1/2}\).) (French. Abridged English version) Zbl 0845.49008 C. R. Acad. Sci., Paris, Sér. I 319, No. 4, 333-338 (1994). MSC: 49J45 PDFBibTeX XMLCite \textit{G. Alberti} et al., C. R. Acad. Sci., Paris, Sér. I 319, No. 4, 333--338 (1994; Zbl 0845.49008)
Alberti, Giovanni; Ambrosio, Luigi; Buttazzo, Giuseppe Singular perturbation problems with a compact support semilinear term. (English) Zbl 0829.49012 Asymptotic Anal. 8, No. 3, 247-258 (1994). Reviewer: J.Ramik (Ostrava) MSC: 49J45 49J27 49J30 PDFBibTeX XMLCite \textit{G. Alberti} et al., Asymptotic Anal. 8, No. 3, 247--258 (1994; Zbl 0829.49012)
Alberti, Giovanni; Serra Cassano, Francesco Non-occurrence of gap for one-dimensional autonomous functionals. (English) Zbl 0884.49009 Bouchitté, Guy (ed.) et al., Calculus of variations, homogenization and continuum mechanics. Proceedings of a workshop, CIRM-Luminy, Marseille, France, June 21–25, 1993. Singapore: World Scientific. Ser. Adv. Math. Appl. Sci. 18, 1-17 (1994). MSC: 49J45 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{F. Serra Cassano}, Ser. Adv. Math. Appl. Sci. 18, 1--17 (1994; Zbl 0884.49009)
Alberti, Giovanni; Buttazzo, Giuseppe Local mappings on spaces of differentiable functions. (English) Zbl 0808.46030 Manuscr. Math. 79, No. 1, 81-97 (1993). Reviewer: V.L.Hansen (Lyngby) MSC: 46E10 58D15 49J45 46G05 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{G. Buttazzo}, Manuscr. Math. 79, No. 1, 81--97 (1993; Zbl 0808.46030) Full Text: DOI EuDML
Alberti, Giovanni; Buttazzo, Giuseppe Integral representation of functionals defined on Sobolev spaces. (English) Zbl 0736.46016 Composite media and homogenization theory, Proc. Int. Cent. Theor. Phys. Workshop, Trieste/Italy 1990, Prog. Nonlinear Differ. Equ. Appl. 5, 1-12 (1991). Reviewer: B.Rubin (Jerusalem) MSC: 46E35 49J45 46G10 PDFBibTeX XMLCite \textit{G. Alberti} and \textit{G. Buttazzo}, in: Composite media and homogenization theory, Proc. Int. Cent. Theor. Phys. Workshop, Trieste/Italy 1990, Prog. Nonlinear Differ. Equ. Appl. 5, . 1--12 (1991; Zbl 0736.46016)