Friedrich, Manuel; Perugini, Matteo; Solombrino, Francesco \(\Gamma\)-convergence for free-discontinuity problems in linear elasticity: homogenization and relaxation. (English) Zbl 07785982 Indiana Univ. Math. J. 72, No. 5, 1949-2023 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J45 49Q20 70G75 74Q05 74R10 PDFBibTeX XMLCite \textit{M. Friedrich} et al., Indiana Univ. Math. J. 72, No. 5, 1949--2023 (2023; Zbl 07785982) Full Text: DOI arXiv
Babadjian, Jean-Francois; Bonhomme, Elise Discrete approximation of the Griffith functional by adaptive finite elements. (English) Zbl 07764522 SIAM J. Math. Anal. 55, No. 6, 6778-6837 (2023). MSC: 26A45 49J45 49Q20 74R10 74G65 74S05 PDFBibTeX XMLCite \textit{J.-F. Babadjian} and \textit{E. Bonhomme}, SIAM J. Math. Anal. 55, No. 6, 6778--6837 (2023; Zbl 07764522) Full Text: DOI arXiv
Almi, Stefano; Tasso, Emanuele A new proof of compactness in G(S)BD. (English) Zbl 07707650 Adv. Calc. Var. 16, No. 3, 637-650 (2023). MSC: 74R10 74P10 49Q10 49J45 PDFBibTeX XMLCite \textit{S. Almi} and \textit{E. Tasso}, Adv. Calc. Var. 16, No. 3, 637--650 (2023; Zbl 07707650) Full Text: DOI arXiv
Anza Hafsa, Omar; Mandallena, Jean-Philippe Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation. (English) Zbl 1509.35302 Asymptotic Anal. 131, No. 2, 209-232 (2023). MSC: 35Q74 74Q10 74C05 35B44 35R06 35R60 PDFBibTeX XMLCite \textit{O. Anza Hafsa} and \textit{J.-P. Mandallena}, Asymptotic Anal. 131, No. 2, 209--232 (2023; Zbl 1509.35302) Full Text: DOI
Rindler, Filip Space-time integral currents of bounded variation. (English) Zbl 1504.49060 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 54, 31 p. (2023). MSC: 49Q15 26B20 28A25 PDFBibTeX XMLCite \textit{F. Rindler}, Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 54, 31 p. (2023; Zbl 1504.49060) Full Text: DOI arXiv
Arroyo-Rabasa, Adolfo; Bonicatto, Paolo A Bourgain-Brezis-Mironescu representation for functions with bounded deformation. (English) Zbl 1523.46022 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 33, 22 p. (2023). Reviewer: Wen Yuan (Beijing) MSC: 46E30 42B35 74B05 PDFBibTeX XMLCite \textit{A. Arroyo-Rabasa} and \textit{P. Bonicatto}, Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 33, 22 p. (2023; Zbl 1523.46022) Full Text: DOI arXiv
Antonelli, Gioacchino; Pasqualetto, Enrico; Pozzetta, Marco Isoperimetric sets in spaces with lower bounds on the Ricci curvature. (English) Zbl 1501.53053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112839, 59 p. (2022). Reviewer: Jialong Deng (Beijing) MSC: 53C23 26B30 26A45 PDFBibTeX XMLCite \textit{G. Antonelli} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112839, 59 p. (2022; Zbl 1501.53053) Full Text: DOI arXiv
Gmeineder, Franz; Raită, Bogdan; Van Schaftingen, Jean On limiting trace inequalities for vectorial differential operators. (English) Zbl 1493.46054 Indiana Univ. Math. J. 70, No. 5, 2133-2176 (2021). MSC: 46E35 47F10 PDFBibTeX XMLCite \textit{F. Gmeineder} et al., Indiana Univ. Math. J. 70, No. 5, 2133--2176 (2021; Zbl 1493.46054) Full Text: DOI arXiv
Nie, Ziwei; Li, Chen; Liu, Hairong; Yang, Xiaoping Deformable image registration based on functions of bounded generalized deformation. (English) Zbl 1483.68443 Int. J. Comput. Vis. 129, No. 5, 1341-1358 (2021). MSC: 68T45 68U10 PDFBibTeX XMLCite \textit{Z. Nie} et al., Int. J. Comput. Vis. 129, No. 5, 1341--1358 (2021; Zbl 1483.68443) Full Text: DOI
Nie, Ziwei; Li, Chen; Liu, Hairong; Yang, Xiaoping A variational model for deformable registration of uni-modal medical images with intensity biases. (English) Zbl 1525.92043 J. Math. Imaging Vis. 63, No. 8, 1057-1068 (2021). MSC: 92C55 PDFBibTeX XMLCite \textit{Z. Nie} et al., J. Math. Imaging Vis. 63, No. 8, 1057--1068 (2021; Zbl 1525.92043) Full Text: DOI
Chambolle, Antonin; Crismale, Vito Phase-field approximation for a class of cohesive fracture energies with an activation threshold. (English) Zbl 1476.49018 Adv. Calc. Var. 14, No. 4, 475-497 (2021). MSC: 49J45 26B30 74R10 35A35 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{V. Crismale}, Adv. Calc. Var. 14, No. 4, 475--497 (2021; Zbl 1476.49018) Full Text: DOI arXiv
Kosiba, Kamil; Rindler, Filip On the relaxation of integral functionals depending on the symmetrized gradient. (English) Zbl 1462.49027 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 473-508 (2021). MSC: 49J45 PDFBibTeX XMLCite \textit{K. Kosiba} and \textit{F. Rindler}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 473--508 (2021; Zbl 1462.49027) Full Text: DOI arXiv Link
Chambolle, Antonin; Crismale, Vito Compactness and lower semicontinuity in \(GSBD\). (English) Zbl 1475.49018 J. Eur. Math. Soc. (JEMS) 23, No. 3, 701-719 (2021). Reviewer: Georgios Psaradakis (Mannheim) MSC: 49J45 26A45 74R10 74G65 70G75 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{V. Crismale}, J. Eur. Math. Soc. (JEMS) 23, No. 3, 701--719 (2021; Zbl 1475.49018) Full Text: DOI arXiv
Friedrich, Manuel; Perugini, Matteo; Solombrino, Francesco Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\). (English) Zbl 1456.49013 J. Funct. Anal. 280, No. 7, Article ID 108929, 46 p. (2021). MSC: 49J45 49Q20 70G75 74R10 PDFBibTeX XMLCite \textit{M. Friedrich} et al., J. Funct. Anal. 280, No. 7, Article ID 108929, 46 p. (2021; Zbl 1456.49013) Full Text: DOI arXiv
Gmeineder, Franz Partial regularity for symmetric quasiconvex functionals on BD. (English. French summary) Zbl 1459.35137 J. Math. Pures Appl. (9) 145, 83-129 (2021). MSC: 35J50 49J50 35B65 PDFBibTeX XMLCite \textit{F. Gmeineder}, J. Math. Pures Appl. (9) 145, 83--129 (2021; Zbl 1459.35137) Full Text: DOI arXiv
Crismale, Vito; Orlando, Gianluca A lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,\gamma}\), \(\gamma > 1\). (English) Zbl 1502.35164 Math. Eng. (Springfield) 2, No. 1, 101-118 (2020). MSC: 35Q74 74A45 74C05 74R20 35R09 35A01 PDFBibTeX XMLCite \textit{V. Crismale} and \textit{G. Orlando}, Math. Eng. (Springfield) 2, No. 1, 101--118 (2020; Zbl 1502.35164) Full Text: DOI arXiv
Braides, Andrea; Nodargi, Nicola A. Homogenization of cohesive fracture in masonry structures. (English) Zbl 1446.74193 Math. Mech. Solids 25, No. 2, 181-200 (2020). MSC: 74Q05 74R99 74E30 PDFBibTeX XMLCite \textit{A. Braides} and \textit{N. A. Nodargi}, Math. Mech. Solids 25, No. 2, 181--200 (2020; Zbl 1446.74193) Full Text: DOI arXiv
Gmeineder, Franz The regularity of minima for the Dirichlet problem on BD. (English) Zbl 1442.49048 Arch. Ration. Mech. Anal. 237, No. 3, 1099-1171 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49N60 35A15 PDFBibTeX XMLCite \textit{F. Gmeineder}, Arch. Ration. Mech. Anal. 237, No. 3, 1099--1171 (2020; Zbl 1442.49048) Full Text: DOI arXiv
Tasso, Emanuele On the continuity of the trace operator in GSBV\((\Omega)\) and GSBD\((\Omega)\). (English) Zbl 1453.46036 ESAIM, Control Optim. Calc. Var. 26, Paper No. 30, 34 p. (2020). MSC: 46E35 49Q20 26A45 26B30 PDFBibTeX XMLCite \textit{E. Tasso}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 30, 34 p. (2020; Zbl 1453.46036) Full Text: DOI Link
Davoli, Elisa; Roubíček, Tomáš; Stefanelli, Ulisse Dynamic perfect plasticity and damage in viscoelastic solids. (English) Zbl 07785934 ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800161, 27 p. (2019). MSC: 35Q74 37N15 74C05 74R05 PDFBibTeX XMLCite \textit{E. Davoli} et al., ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800161, 27 p. (2019; Zbl 07785934) Full Text: DOI arXiv
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. (English) Zbl 1437.65182 ESAIM, Control Optim. Calc. Var. 25, Paper No. 34, 12 p. (2019). MSC: 65N30 26B30 74R10 74B10 35A35 PDFBibTeX XMLCite \textit{S. Conti} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 34, 12 p. (2019; Zbl 1437.65182) Full Text: DOI arXiv
Gmeineder, Franz; Raită, Bogdan On critical \(\mathrm{L}^p\)-differentiability of BD-maps. (English) Zbl 1429.26017 Rev. Mat. Iberoam. 35, No. 7, 2071-2078 (2019). MSC: 26B05 46E35 PDFBibTeX XMLCite \textit{F. Gmeineder} and \textit{B. Raită}, Rev. Mat. Iberoam. 35, No. 7, 2071--2078 (2019; Zbl 1429.26017) Full Text: DOI arXiv
Crismale, Vito On the approximation of \(SBD\) functions and some applications. (English) Zbl 1429.26023 SIAM J. Math. Anal. 51, No. 6, 5011-5048 (2019). MSC: 26B30 35Q74 49Q20 74R99 PDFBibTeX XMLCite \textit{V. Crismale}, SIAM J. Math. Anal. 51, No. 6, 5011--5048 (2019; Zbl 1429.26023) Full Text: DOI arXiv
Crismale, Vito Density in SBD and approximation of fracture energies. (English) Zbl 1430.49048 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 3, 533-542 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 26A45 49J45 74R99 35Q74 PDFBibTeX XMLCite \textit{V. Crismale}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 3, 533--542 (2019; Zbl 1430.49048) Full Text: DOI
Caroccia, Marco Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications. (English) Zbl 1430.49006 ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1305-1350 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 49J45 26B30 74R10 PDFBibTeX XMLCite \textit{M. Caroccia}, ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1305--1350 (2019; Zbl 1430.49006) Full Text: DOI arXiv
Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. (English. French summary) Zbl 1419.49054 J. Math. Pures Appl. (9) 128, 119-139 (2019). MSC: 49Q20 49J45 26A45 74R10 74G65 PDFBibTeX XMLCite \textit{A. Chambolle} et al., J. Math. Pures Appl. (9) 128, 119--139 (2019; Zbl 1419.49054) Full Text: DOI arXiv
Gidoni, P.; Maggiani, G. B.; Scala, R. Existence and regularity of solutions for an evolution model of perfectly plastic plates. (English) Zbl 1412.74013 Commun. Pure Appl. Anal. 18, No. 4, 1783-1826 (2019). MSC: 74C05 74K20 49J45 PDFBibTeX XMLCite \textit{P. Gidoni} et al., Commun. Pure Appl. Anal. 18, No. 4, 1783--1826 (2019; Zbl 1412.74013) Full Text: DOI arXiv
Davoli, Elisa; Stefanelli, Ulisse Dynamic perfect plasticity as convex minimization. (English) Zbl 1409.70011 SIAM J. Math. Anal. 51, No. 2, 672-730 (2019). MSC: 70H03 70H30 74C10 74G65 PDFBibTeX XMLCite \textit{E. Davoli} and \textit{U. Stefanelli}, SIAM J. Math. Anal. 51, No. 2, 672--730 (2019; Zbl 1409.70011) Full Text: DOI
Bildhauer, M.; Fuchs, M.; Müller, J. Existence and regularity for stationary incompressible flows with dissipative potentials of linear growth. (English) Zbl 1404.76011 J. Math. Fluid Mech. 20, No. 4, 1567-1587 (2018). MSC: 76A05 76M30 49Q20 49N60 PDFBibTeX XMLCite \textit{M. Bildhauer} et al., J. Math. Fluid Mech. 20, No. 4, 1567--1587 (2018; Zbl 1404.76011) Full Text: DOI
Friedrich, Manuel A piecewise Korn inequality in SBD and applications to embedding and density results. (English) Zbl 1391.74227 SIAM J. Math. Anal. 50, No. 4, 3842-3918 (2018). MSC: 74R10 49J45 70G75 26D10 PDFBibTeX XMLCite \textit{M. Friedrich}, SIAM J. Math. Anal. 50, No. 4, 3842--3918 (2018; Zbl 1391.74227) Full Text: DOI arXiv
Maggiani, G. B.; Mora, M. G. Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation. (English) Zbl 1451.74053 Ann. Mat. Pura Appl. (4) 197, No. 3, 775-815 (2018). MSC: 74C05 74K25 74G10 49J45 PDFBibTeX XMLCite \textit{G. B. Maggiani} and \textit{M. G. Mora}, Ann. Mat. Pura Appl. (4) 197, No. 3, 775--815 (2018; Zbl 1451.74053) Full Text: DOI
Babadjian, Jean-François; Mora, Maria Giovanna Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion. (English) Zbl 1382.35062 J. Differ. Equations 264, No. 8, 5109-5151 (2018). MSC: 35B65 74G40 74C15 PDFBibTeX XMLCite \textit{J.-F. Babadjian} and \textit{M. G. Mora}, J. Differ. Equations 264, No. 8, 5109--5151 (2018; Zbl 1382.35062) Full Text: DOI arXiv
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana Which special functions of bounded deformation have bounded variation? (English) Zbl 1381.26017 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 1, 33-50 (2018). MSC: 26B30 PDFBibTeX XMLCite \textit{S. Conti} et al., Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 1, 33--50 (2017; Zbl 1381.26017) Full Text: DOI arXiv
Friedrich, Manuel A Korn-type inequality in SBD for functions with small jump sets. (English) Zbl 1386.74123 Math. Models Methods Appl. Sci. 27, No. 13, 2461-2484 (2017). MSC: 74R10 49J45 70G75 PDFBibTeX XMLCite \textit{M. Friedrich}, Math. Models Methods Appl. Sci. 27, No. 13, 2461--2484 (2017; Zbl 1386.74123) Full Text: DOI arXiv
De Philippis, Guido; Rindler, Filip Characterization of generalized Young measures generated by symmetric gradients. (English) Zbl 1372.49018 Arch. Ration. Mech. Anal. 224, No. 3, 1087-1125 (2017). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 90C52 74C99 PDFBibTeX XMLCite \textit{G. De Philippis} and \textit{F. Rindler}, Arch. Ration. Mech. Anal. 224, No. 3, 1087--1125 (2017; Zbl 1372.49018) Full Text: DOI arXiv
Dal Maso, Gianni; Orlando, Gianluca; Toader, Rodica Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation. (English) Zbl 1364.49013 Adv. Calc. Var. 10, No. 2, 183-207 (2017). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 26B30 PDFBibTeX XMLCite \textit{G. Dal Maso} et al., Adv. Calc. Var. 10, No. 2, 183--207 (2017; Zbl 1364.49013) Full Text: DOI
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana Integral representation for functionals defined on \(SBD^p\) in dimension two. (English) Zbl 1398.49007 Arch. Ration. Mech. Anal. 223, No. 3, 1337-1374 (2017). Reviewer: Jafar Zafarani (Isfahan) MSC: 49J40 35C15 35J50 49J27 PDFBibTeX XMLCite \textit{S. Conti} et al., Arch. Ration. Mech. Anal. 223, No. 3, 1337--1374 (2017; Zbl 1398.49007) Full Text: DOI arXiv
Gmeineder, Franz Symmetric-convex functionals of linear growth. (English) Zbl 1383.49020 J. Elliptic Parabol. Equ. 2, No. 1-2, 59-71 (2016). Reviewer: Mohammad Sadegh Shahrokhi-Dehkordi (Tehran) MSC: 49J50 35J05 49N60 PDFBibTeX XMLCite \textit{F. Gmeineder}, J. Elliptic Parabol. Equ. 2, No. 1--2, 59--71 (2016; Zbl 1383.49020) Full Text: DOI arXiv
Babadjian, Jean-François; Henao, Duvan Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination. (English) Zbl 1381.74147 Interfaces Free Bound. 18, No. 4, 545-578 (2016). MSC: 74K35 35B27 35Q74 74B05 74R10 49Q20 PDFBibTeX XMLCite \textit{J.-F. Babadjian} and \textit{D. Henao}, Interfaces Free Bound. 18, No. 4, 545--578 (2016; Zbl 1381.74147) Full Text: DOI arXiv
Babadjian, Jean-François; Francfort, Gilles A. A note on the derivation of rigid-plastic models. (English) Zbl 1354.74026 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 3, Paper No. 37, 16 p. (2016). MSC: 74C05 26B30 35Q74 49J45 49Q20 PDFBibTeX XMLCite \textit{J.-F. Babadjian} and \textit{G. A. Francfort}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 3, Paper No. 37, 16 p. (2016; Zbl 1354.74026) Full Text: DOI arXiv
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles Korn-Poincarè inequalities for functions with a small jump set. (English) Zbl 1357.49151 Indiana Univ. Math. J. 65, No. 4, 1373-1399 (2016). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 49Q15 74B05 26B30 PDFBibTeX XMLCite \textit{A. Chambolle} et al., Indiana Univ. Math. J. 65, No. 4, 1373--1399 (2016; Zbl 1357.49151) Full Text: DOI Link
De Philippis, Guido; Rindler, Filip On the structure of \({\mathcal A}\)-free measures and applications. (English) Zbl 1352.49050 Ann. Math. (2) 184, No. 3, 1017-1039 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q15 35D30 28B05 49Q20 PDFBibTeX XMLCite \textit{G. De Philippis} and \textit{F. Rindler}, Ann. Math. (2) 184, No. 3, 1017--1039 (2016; Zbl 1352.49050) Full Text: DOI arXiv
Maggiani, Giovanni Battista; Mora, Maria Giovanna A dynamic evolution model for perfectly plastic plates. (English) Zbl 1346.74015 Math. Models Methods Appl. Sci. 26, No. 10, 1825-1864 (2016). MSC: 74C05 74K20 49J45 PDFBibTeX XMLCite \textit{G. B. Maggiani} and \textit{M. G. Mora}, Math. Models Methods Appl. Sci. 26, No. 10, 1825--1864 (2016; Zbl 1346.74015) Full Text: DOI
Ionescu, Ioan R.; Lupaşcu, Oana Modeling shallow avalanche onset over complex basal topography. (English) Zbl 1331.74063 Adv. Comput. Math. 42, No. 1, 5-26 (2016). MSC: 74G50 74C10 74S30 90C26 PDFBibTeX XMLCite \textit{I. R. Ionescu} and \textit{O. Lupaşcu}, Adv. Comput. Math. 42, No. 1, 5--26 (2016; Zbl 1331.74063) Full Text: DOI
Babadjian, Jean-François Traces of functions of bounded deformation. (English) Zbl 1339.26030 Indiana Univ. Math. J. 64, No. 4, 1271-1290 (2015). Reviewer: Giorgi Oniani (Kutaisi) MSC: 26B30 46E35 28A33 PDFBibTeX XMLCite \textit{J.-F. Babadjian}, Indiana Univ. Math. J. 64, No. 4, 1271--1290 (2015; Zbl 1339.26030) Full Text: DOI arXiv Link
Francfort, Gilles A.; Giacomini, Alessandro The role of a vanishing interfacial layer in perfect elasto-plasticity. (English) Zbl 1327.74039 Chin. Ann. Math., Ser. B 36, No. 5, 813-828 (2015). MSC: 74C05 49J45 26B30 PDFBibTeX XMLCite \textit{G. A. Francfort} and \textit{A. Giacomini}, Chin. Ann. Math., Ser. B 36, No. 5, 813--828 (2015; Zbl 1327.74039) Full Text: DOI
Babadjian, Jean-François; Mora, Maria Giovanna Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models. (English) Zbl 1328.74019 Q. Appl. Math. 73, No. 2, 265-316 (2015). MSC: 74C05 74C10 74G65 49J45 35Q74 PDFBibTeX XMLCite \textit{J.-F. Babadjian} and \textit{M. G. Mora}, Q. Appl. Math. 73, No. 2, 265--316 (2015; Zbl 1328.74019) Full Text: DOI
Bredies, Kristian; Holler, Martin Regularization of linear inverse problems with total generalized variation. (English) Zbl 1302.65167 J. Inverse Ill-Posed Probl. 22, No. 6, 871-913 (2014). MSC: 65L09 65F22 65L20 46G05 46B26 PDFBibTeX XMLCite \textit{K. Bredies} and \textit{M. Holler}, J. Inverse Ill-Posed Probl. 22, No. 6, 871--913 (2014; Zbl 1302.65167) Full Text: DOI Link
Focardi, M.; Iurlano, F. Asymptotic analysis of Ambrosio-Tortorelli energies in linearized elasticity. (English) Zbl 1301.49030 SIAM J. Math. Anal. 46, No. 4, 2936-2955 (2014). MSC: 49J45 26B30 74R10 35A35 PDFBibTeX XMLCite \textit{M. Focardi} and \textit{F. Iurlano}, SIAM J. Math. Anal. 46, No. 4, 2936--2955 (2014; Zbl 1301.49030) Full Text: DOI HAL
Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca On the \(L^p\)-differentiability of certain classes of functions. (English) Zbl 1296.26042 Rev. Mat. Iberoam. 30, No. 1, 349-367 (2014). Reviewer: Thomas Zürcher (Coventry) MSC: 26B05 42B20 46E35 PDFBibTeX XMLCite \textit{G. Alberti} et al., Rev. Mat. Iberoam. 30, No. 1, 349--367 (2014; Zbl 1296.26042) Full Text: DOI
Valkonen, Tuomo; Bredies, Kristian; Knoll, Florian Total generalized variation in diffusion tensor imaging. (English) Zbl 1322.94024 SIAM J. Imaging Sci. 6, No. 1, 487-525 (2013). MSC: 94A08 26B30 49M29 PDFBibTeX XMLCite \textit{T. Valkonen} et al., SIAM J. Imaging Sci. 6, No. 1, 487--525 (2013; Zbl 1322.94024) Full Text: DOI Link
Bredies, Kristian Symmetric tensor fields of bounded deformation. (English) Zbl 1288.46024 Ann. Mat. Pura Appl. (4) 192, No. 5, 815-851 (2013). MSC: 46E35 53A45 74B20 PDFBibTeX XMLCite \textit{K. Bredies}, Ann. Mat. Pura Appl. (4) 192, No. 5, 815--851 (2013; Zbl 1288.46024) Full Text: DOI Link
Dal Maso, Gianni Generalised functions of bounded deformation. (English) Zbl 1271.49029 J. Eur. Math. Soc. (JEMS) 15, No. 5, 1943-1997 (2013). MSC: 49Q20 49J45 26B30 46E99 PDFBibTeX XMLCite \textit{G. Dal Maso}, J. Eur. Math. Soc. (JEMS) 15, No. 5, 1943--1997 (2013; Zbl 1271.49029) Full Text: DOI
Galligo, André Deformation of roots of polynomials via fractional derivatives. (English) Zbl 1261.65046 J. Symb. Comput. 52, 35-50 (2013). MSC: 65H04 65D07 26A33 12D10 65E05 30C15 65H20 68W30 PDFBibTeX XMLCite \textit{A. Galligo}, J. Symb. Comput. 52, 35--50 (2013; Zbl 1261.65046) Full Text: DOI
Van Goethem, N. A multiscale model for dislocations: from mesoscopic elasticity to macroscopic plasticity. (English) Zbl 1402.74088 ZAMM, Z. Angew. Math. Mech. 92, No. 7, 514-535 (2012). MSC: 74Q10 74C99 74N05 74A15 74D10 74E15 PDFBibTeX XMLCite \textit{N. Van Goethem}, ZAMM, Z. Angew. Math. Mech. 92, No. 7, 514--535 (2012; Zbl 1402.74088) Full Text: DOI
Kružík, Martin; Zimmer, Johannes On an extension of the space of bounded deformations. (English) Zbl 1246.46033 Z. Anal. Anwend. 31, No. 1, 75-91 (2012). MSC: 46E35 26B30 46E40 54C35 PDFBibTeX XMLCite \textit{M. Kružík} and \textit{J. Zimmer}, Z. Anal. Anwend. 31, No. 1, 75--91 (2012; Zbl 1246.46033) Full Text: DOI
Rindler, Filip Lower semicontinuity for integral functionals in the space of functions of bounded deformation via rigidity and Young measures. (English) Zbl 1258.49014 Arch. Ration. Mech. Anal. 202, No. 1, 63-113 (2011). MSC: 49J45 49Q20 PDFBibTeX XMLCite \textit{F. Rindler}, Arch. Ration. Mech. Anal. 202, No. 1, 63--113 (2011; Zbl 1258.49014) Full Text: DOI arXiv
Fuchs, Martin Computable upper bounds for the constants in Poincaré-type inequalities for fields of bounded deformation. (English) Zbl 1403.74017 Math. Methods Appl. Sci. 34, No. 15, 1920-1932 (2011). MSC: 74C05 46E35 PDFBibTeX XMLCite \textit{M. Fuchs}, Math. Methods Appl. Sci. 34, No. 15, 1920--1932 (2011; Zbl 1403.74017) Full Text: DOI
Gargiulo, Giuliano; Zappale, Elvira A lower semicontinuity result in SBD for surface integral functionals of fracture mechanics. (English) Zbl 1228.49014 Asymptotic Anal. 72, No. 3-4, 231-249 (2011). MSC: 49J45 49S05 PDFBibTeX XMLCite \textit{G. Gargiulo} and \textit{E. Zappale}, Asymptotic Anal. 72, No. 3--4, 231--249 (2011; Zbl 1228.49014) Full Text: DOI
Fuchs, M.; Bildhauer, M. Compact embeddings of the space of functions with bounded logarithmic deformation. (English. Russian original) Zbl 1229.46023 J. Math. Sci., New York 172, No. 1, 165-183 (2011); translation from Probl. Mat. Anal. 51, 139-153 (2010). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{M. Fuchs} and \textit{M. Bildhauer}, J. Math. Sci., New York 172, No. 1, 165--183 (2011; Zbl 1229.46023); translation from Probl. Mat. Anal. 51, 139--153 (2010) Full Text: DOI
Valkonen, Tuomo Transport equation and image interpolation with SBD velocity fields. (English) Zbl 1229.49053 J. Math. Pures Appl. (9) 95, No. 5, 459-494 (2011). MSC: 49Q20 49J20 26B30 94A08 PDFBibTeX XMLCite \textit{T. Valkonen}, J. Math. Pures Appl. (9) 95, No. 5, 459--494 (2011; Zbl 1229.49053) Full Text: DOI
Lü, Zhongxue; Yang, Xiaoping A relaxation result of functionals in the space SBD (\(\Omega)\). (English) Zbl 1199.49001 Acta Math. Sci., Ser. B, Engl. Ed. 28, No. 4, 770-778 (2008). MSC: 49J10 49J20 49J45 49Q20 74C05 PDFBibTeX XMLCite \textit{Z. Lü} and \textit{X. Yang}, Acta Math. Sci., Ser. B, Engl. Ed. 28, No. 4, 770--778 (2008; Zbl 1199.49001) Full Text: DOI
Gargiulo, G.; Zappale, E. A lower semicontinuity result in SBD. (English) Zbl 1245.49020 J. Convex Anal. 15, No. 1, 191-200 (2008). MSC: 49J45 74A45 74B20 74G65 74R10 PDFBibTeX XMLCite \textit{G. Gargiulo} and \textit{E. Zappale}, J. Convex Anal. 15, No. 1, 191--200 (2008; Zbl 1245.49020) Full Text: Link
Carbonaro, A.; Mauceri, G. A note on bounded variation and heat semigroup on Riemannian manifolds. (English) Zbl 1130.58016 Bull. Aust. Math. Soc. 76, No. 1, 155-160 (2007). Reviewer: Huili Liu (Shenyang) MSC: 58J35 26A45 35J05 35K05 83C99 PDFBibTeX XMLCite \textit{A. Carbonaro} and \textit{G. Mauceri}, Bull. Aust. Math. Soc. 76, No. 1, 155--160 (2007; Zbl 1130.58016) Full Text: DOI
Braides, Andrea; Piat, Valeria Chiadò Another brick in the wall. (English) Zbl 1098.35014 dal Maso, Gianni (ed.) et al., Variational problems in material science. Proceedings of the workshop, Trieste, Italy, September 6–10, 2004. Basel: Birkhäuser (ISBN 3-7643-7564-7/hbk). Progress in Nonlinear Differential Equations and Their Applications 68, 13-24 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35B27 74E20 49J45 PDFBibTeX XMLCite \textit{A. Braides} and \textit{V. C. Piat}, Prog. Nonlinear Differ. Equ. Appl. 68, 13--24 (2006; Zbl 1098.35014)
Dal Maso, Gianni; DeSimone, Antonio; Mora, Maria Giovanna Quasistatic evolution problems for linearly elastic-perfectly plastic materials. (English) Zbl 1093.74007 Arch. Ration. Mech. Anal. 180, No. 2, 237-291 (2006). MSC: 74C05 74H20 PDFBibTeX XMLCite \textit{G. Dal Maso} et al., Arch. Ration. Mech. Anal. 180, No. 2, 237--291 (2006; Zbl 1093.74007) Full Text: DOI arXiv
Bojarski, Jarosław L. Regularization of noncoercive constraints in Hencky plasticity. (English) Zbl 1087.49011 Appl. Math. 32, No. 3, 327-340 (2005). MSC: 49J45 47N10 47H04 49K27 74C05 74G65 74G40 PDFBibTeX XMLCite \textit{J. L. Bojarski}, Appl. Math. 32, No. 3, 327--340 (2005; Zbl 1087.49011) Full Text: DOI
Ebobisse, François A lower semicontinuity result for some integral functionals in the space \(SBD\). (English) Zbl 1071.49012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 7, 1333-1351 (2005). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49J45 49Q15 49Q20 74C15 74G65 PDFBibTeX XMLCite \textit{F. Ebobisse}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 7, 1333--1351 (2005; Zbl 1071.49012) Full Text: DOI arXiv
Chambolle, Antonin An approximation result for special functions with bounded deformation. (English) Zbl 1084.49038 J. Math. Pures Appl. (9) 83, No. 7, 929-954 (2004); addendum ibid. 84, No. 1, 137-145 (2005). Reviewer: Luigi de Pascale (Pisa) MSC: 49Q20 49J45 74G05 74R10 PDFBibTeX XMLCite \textit{A. Chambolle}, J. Math. Pures Appl. (9) 83, No. 7, 929--954 (2005; Zbl 1084.49038) Full Text: DOI DOI Link
Bojarski, Jarosław L. General method of regularization. II. Relaxation proposed by Suquet. (English) Zbl 1078.49010 Appl. Math. 31, No. 3, 321-343 (2004). MSC: 49J45 47N10 47H04 26B30 74C05 74G40 74G65 49K27 PDFBibTeX XMLCite \textit{J. L. Bojarski}, Appl. Math. 31, No. 3, 321--343 (2004; Zbl 1078.49010) Full Text: DOI
Bojarski, Jarosław L. General method of regularization. I: Functionals defined on BD space. (English) Zbl 1078.49009 Appl. Math. 31, No. 2, 175-199 (2004). MSC: 49J45 47N10 47H04 26B30 74C05 74G40 74G65 49K27 PDFBibTeX XMLCite \textit{J. L. Bojarski}, Appl. Math. 31, No. 2, 175--199 (2004; Zbl 1078.49009) Full Text: DOI
Hinterberger, W.; Scherzer, O.; Schnörr, C.; Weickert, J. Analysis of optical flow models in the framework of the calculus of variations. (English) Zbl 1016.49002 Numer. Funct. Anal. Optimization 23, No. 1-2, 69-89 (2002). MSC: 49J10 68T45 94A08 68U10 PDFBibTeX XMLCite \textit{W. Hinterberger} et al., Numer. Funct. Anal. Optim. 23, No. 1--2, 69--89 (2002; Zbl 1016.49002) Full Text: DOI
Aleksandrov, A. G. Modular space for complete intersection curve-singularities. (English) Zbl 0966.32015 Kajiwara, Joji (ed.) et al., Finite or infinite dimensional complex analysis. Proceedings of the seventh international colloquium, Fukuoka, Japan, 1999. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 214, 1-19 (2000). Reviewer: J.Stevens (Göteborg) MSC: 32S15 14H15 14M10 32G13 14H30 32S05 32Q45 14D22 30C45 30C55 32J05 PDFBibTeX XMLCite \textit{A. G. Aleksandrov}, Lect. Notes Pure Appl. Math. 214, 1--19 (2000; Zbl 0966.32015)
Barroso, Ana Cristina; Fonseca, Irene; Toader, Rodica A relaxation theorem in the space of functions of bounded deformation. (English) Zbl 0960.49014 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 1, 19-49 (2000). Reviewer: Riccardo De Arcangelis (Napoli) MSC: 49J45 35J50 49Q20 PDFBibTeX XMLCite \textit{A. C. Barroso} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 1, 19--49 (2000; Zbl 0960.49014) Full Text: Numdam EuDML
Buliga, Marius Energy minimizing brittle crack propagation. (English) Zbl 0947.74055 J. Elasticity 52, No. 3, 201-238 (1999). MSC: 74R10 74G65 74G25 PDFBibTeX XMLCite \textit{M. Buliga}, J. Elasticity 52, No. 3, 201--238 (1999; Zbl 0947.74055) Full Text: DOI
Ebobisse, François B. Lusin-type approximation of BD functions. (English) Zbl 0939.49012 Proc. R. Soc. Edinb., Sect. A, Math. 129, No. 4, 697-705 (1999). Reviewer: M.Fuchs (Saarbrücken) MSC: 49J45 49N60 PDFBibTeX XMLCite \textit{F. B. Ebobisse}, Proc. R. Soc. Edinb., Sect. A, Math. 129, No. 4, 697--705 (1999; Zbl 0939.49012) Full Text: DOI
Bellettini, G.; Coscia, A.; Dal Maso, G. Compactness and lower semicontinuity properties in \(SBD(\Omega)\). (English) Zbl 0914.46007 Math. Z. 228, No. 2, 337-351 (1998). Reviewer: Espedito De Pascale (Rende) MSC: 46A50 46E30 46E40 49J45 PDFBibTeX XMLCite \textit{G. Bellettini} et al., Math. Z. 228, No. 2, 337--351 (1998; Zbl 0914.46007) Full Text: DOI
Braides, Andrea; Defranceschi, A.; Vitali, E. A relaxation approach to Hencky’s plasticity. (English) Zbl 0860.49014 Appl. Math. Optimization 35, No. 1, 45-68 (1997). MSC: 49J45 49Q20 74C99 49Q15 PDFBibTeX XMLCite \textit{A. Braides} et al., Appl. Math. Optim. 35, No. 1, 45--68 (1997; Zbl 0860.49014)
Ambrosio, Luigi; Coscia, Alessandra; Dal Maso, Gianni Fine properties of functions with bounded deformation. (English) Zbl 0890.49019 Arch. Ration. Mech. Anal. 139, No. 3, 201-238 (1997). Reviewer: Z.Denkowski (Kraków) MSC: 49Q20 26B05 46E40 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Arch. Ration. Mech. Anal. 139, No. 3, 201--238 (1997; Zbl 0890.49019) Full Text: DOI
Hajłasz, Piotr On approximate differentiability of functions with bounded deformation. (English) Zbl 0868.46024 Manuscr. Math. 91, No. 1, 61-72 (1996). MSC: 46E35 74C99 42B20 PDFBibTeX XMLCite \textit{P. Hajłasz}, Manuscr. Math. 91, No. 1, 61--72 (1996; Zbl 0868.46024) Full Text: DOI EuDML
Seregin, G. A. The regularity properties of solutions of variational problems in the theory of phase transitions in elastic solids. (English. Russian original) Zbl 0947.74019 St. Petersbg. Math. J. 7, No. 6, 979-1003 (1996); translation from Algebra Anal. 7, No. 6, 153-187 (1995). Reviewer: O.Titow (Berlin) MSC: 74G40 74G65 74N99 49N60 PDFBibTeX XMLCite \textit{G. A. Seregin}, St. Petersbg. Math. J. 7, No. 6, 153--187 (1995; Zbl 0947.74019); translation from Algebra Anal. 7, No. 6, 153--187 (1995)
Dimca, Alexander; Rosian, Rodica The Samuel stratification of the discriminant is Whitney regular. (English) Zbl 0557.57010 Geom. Dedicata 17, 181-184 (1984). MSC: 57N80 32S60 30C15 58A35 30D10 PDFBibTeX XMLCite \textit{A. Dimca} and \textit{R. Rosian}, Geom. Dedicata 17, 181--184 (1984; Zbl 0557.57010) Full Text: DOI
Temam, R. On the continuity of the trace of vector functions with bounded deformation. (English) Zbl 0504.46027 Appl. Anal. 11, 291-302 (1981). MSC: 46E35 46E30 74C99 PDFBibTeX XMLCite \textit{R. Temam}, Appl. Anal. 11, 291--302 (1981; Zbl 0504.46027) Full Text: DOI
Temam, Roger; Strang, Gilbert Functions of bounded deformation. (English) Zbl 0472.73031 Arch. Ration. Mech. Anal. 75, 7-21 (1980). MSC: 74C99 46E40 49Q05 46E30 PDFBibTeX XMLCite \textit{R. Temam} and \textit{G. Strang}, Arch. Ration. Mech. Anal. 75, 7--21 (1980; Zbl 0472.73031) Full Text: DOI
Botvinnik, V. A.; Miklyukov, V. M. Satz vom Phragmen-Lindelöfschen Typ für \(n\)-dimensionale Abbildungen mit beschränkter Verzerrung. (Russian) Zbl 0435.46027 Sib. Mat. Zh. 21, No. 2, 232-235 (1980). MSC: 46E35 26D20 28A75 PDFBibTeX XMLCite \textit{V. A. Botvinnik} and \textit{V. M. Miklyukov}, Sib. Mat. Zh. 21, No. 2, 232--235 (1980; Zbl 0435.46027)
Thomas, G. Approximationsverhalten einer auf dem Prinzip der virtuellen Verschiebungen beruhenden F-E-Näherung für eine polygonal berandete Platte. (German) Zbl 0477.73075 Z. Angew. Math. Mech. 59, T212-T214 (1979). MSC: 74S05 49S05 46E35 74K20 35J05 PDFBibTeX XMLCite \textit{G. Thomas}, Z. Angew. Math. Mech. 59, T212--T214 (1979; Zbl 0477.73075)
Frum-Ketkov, R. L. Mappings into a Banach space. (English) Zbl 0429.46022 Russ. Math. Surv. 34, No. 2, 227-228 (1979). MSC: 46E40 46G05 47H10 PDFBibTeX XMLCite \textit{R. L. Frum-Ketkov}, Russ. Math. Surv. 34, No. 2, 227--228 (1979; Zbl 0429.46022) Full Text: DOI