Conti, Sergio; Garroni, Adriana Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result. (Estimées de rigidité pour les champs incompatibles comme conséquence du résultat div-rot de Bourgain et Brezis.) (English. French summary) Zbl 1464.49033 C. R., Math., Acad. Sci. Paris 359, No. 2, 155-160 (2021). Reviewer: Igor Bock (Bratislava) MSC: 49Q20 74C15 53C24 PDFBibTeX XMLCite \textit{S. Conti} and \textit{A. Garroni}, C. R., Math., Acad. Sci. Paris 359, No. 2, 155--160 (2021; Zbl 1464.49033) Full Text: DOI arXiv
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
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
Ciarlet, Philippe G.; Iosifescu, Oana Nonlinear Donati compatibility conditions on a surface-application to the intrinsic approach for Koiter’s model of a nonlinearly elastic shallow shell. (English) Zbl 1358.74030 Math. Models Methods Appl. Sci. 27, No. 2, 347-384 (2017). MSC: 74K25 49J45 74B20 74K20 74P10 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{O. Iosifescu}, Math. Models Methods Appl. Sci. 27, No. 2, 347--384 (2017; Zbl 1358.74030) Full Text: DOI
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
Ciarlet, Philippe G.; Mardare, Sorin Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. (English) Zbl 1286.49053 Math. Models Methods Appl. Sci. 23, No. 12, 2293-2321 (2013). MSC: 49Q20 49J45 74B20 74G25 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{S. Mardare}, Math. Models Methods Appl. Sci. 23, No. 12, 2293--2321 (2013; Zbl 1286.49053) Full Text: DOI
Gloria, Antoine; Neukamm, Stefan Commutability of homogenization and linearization at identity in finite elasticity and applications. (English. French summary) Zbl 1256.35004 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 941-964 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 49J45 74E30 74Q05 74Q20 PDFBibTeX XMLCite \textit{A. Gloria} and \textit{S. Neukamm}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 941--964 (2011; Zbl 1256.35004) Full Text: DOI
Ciarlet, Philippe G. On Korn’s inequality. (English) Zbl 1200.49039 Chin. Ann. Math., Ser. B 31, No. 5, 607-618 (2010). MSC: 49N10 49N15 74B99 PDFBibTeX XMLCite \textit{P. G. Ciarlet}, Chin. Ann. Math., Ser. B 31, No. 5, 607--618 (2010; Zbl 1200.49039) Full Text: DOI
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. (English) Zbl 1190.49004 Anal. Appl., Singap. 8, No. 1, 1-17 (2010). MSC: 49J20 35Q93 35Q74 PDFBibTeX XMLCite \textit{C. Amrouche} et al., Anal. Appl., Singap. 8, No. 1, 1--17 (2010; Zbl 1190.49004) Full Text: DOI
Fuchs, Martin; Schirra, Oliver An application of a new coercive inequality to variational problems studied in general relativity and in Cosserat elasticity giving the smoothness of minimizers. (English) Zbl 1180.49040 Arch. Math. 93, No. 6, 587-596 (2009). MSC: 49N60 83C20 74B15 49S05 PDFBibTeX XMLCite \textit{M. Fuchs} and \textit{O. Schirra}, Arch. Math. 93, No. 6, 587--596 (2009; Zbl 1180.49040) Full Text: DOI
Sprekels, Jürgen; Tiba, Dan The control variational approach for differential systems. (English) Zbl 1198.74042 SIAM J. Control Optim. 47, No. 6, 3220-3236 (2009). Reviewer: Jan Lovíšek (Bratislava) MSC: 74K10 74K25 49S05 49N90 PDFBibTeX XMLCite \textit{J. Sprekels} and \textit{D. Tiba}, SIAM J. Control Optim. 47, No. 6, 3220--3236 (2009; Zbl 1198.74042) Full Text: DOI
Figalli, Alessio A geometric lower bound on Grad’s number. (English) Zbl 1167.49040 ESAIM, Control Optim. Calc. Var. 15, No. 3, 569-575 (2009). MSC: 49Q20 49J40 76P05 PDFBibTeX XMLCite \textit{A. Figalli}, ESAIM, Control Optim. Calc. Var. 15, No. 3, 569--575 (2009; Zbl 1167.49040) Full Text: DOI EuDML
Ciarlet, Philippe G.; Gratie, Liliana A new approach to linear shell theory. (English) Zbl 1135.74027 Math. Models Methods Appl. Sci. 15, No. 8, 1181-1202 (2005). MSC: 74K25 49N10 74G65 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{L. Gratie}, Math. Models Methods Appl. Sci. 15, No. 8, 1181--1202 (2005; Zbl 1135.74027) Full Text: DOI
Conti, Sergio; Faraco, Daniel; Maggi, Francesco A new approach to counterexamples to \(L^1\) estimates: Korn’s inequality, geometric rigidity, and regularity for gradients of separately convex functions. (English) Zbl 1080.49026 Arch. Ration. Mech. Anal. 175, No. 2, 287-300 (2005). MSC: 49N60 26D10 49J45 35J50 74B20 74G65 PDFBibTeX XMLCite \textit{S. Conti} et al., Arch. Ration. Mech. Anal. 175, No. 2, 287--300 (2005; Zbl 1080.49026) Full Text: DOI
Desvillettes, L.; Villani, Cédric On a variant of Korn’s inequality arising in statistical mechanics. (English) Zbl 1092.82032 ESAIM, Control Optim. Calc. Var. 8, 603-619 (2002). MSC: 82C40 76P05 49Q20 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, ESAIM, Control Optim. Calc. Var. 8, 603--619 (2002; Zbl 1092.82032) Full Text: DOI Numdam EuDML
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
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
Panagiotopoulos, P. D.; Haslinger, J. On the dual reciprocal variational approach to the Signorini-Fichera problem. Convex and nonconvex generalization. (English) Zbl 0767.73098 Z. Angew. Math. Mech. 72, No. 10, 497-506 (1992). MSC: 74S30 74P10 74B05 49J40 PDFBibTeX XMLCite \textit{P. D. Panagiotopoulos} and \textit{J. Haslinger}, Z. Angew. Math. Mech. 72, No. 10, 497--506 (1992; Zbl 0767.73098) Full Text: DOI
Karchevskij, M. M. On solvability of variational problems of nonlinear shallow shell theory. (Russian) Zbl 0734.73093 Differ. Uravn. 27, No. 7, 1196-1203 (1991). Reviewer: V.Komkov (Wright-Patterson) MSC: 74S30 74P10 74K15 49J40 49J45 PDFBibTeX XMLCite \textit{M. M. Karchevskij}, Differ. Uravn. 27, No. 7, 1196--1203 (1991; Zbl 0734.73093)
Bhattacharya, Kaushik Korn’s inequality for sequences. (English) Zbl 0735.73010 Proc. R. Soc. Lond., Ser. A 434, No. 1891, 479-484 (1991). Reviewer: V.Komkov MSC: 74B20 74S30 74P10 49Q20 49J40 60G57 26D15 PDFBibTeX XMLCite \textit{K. Bhattacharya}, Proc. R. Soc. Lond., Ser. A 434, No. 1891, 479--484 (1991; Zbl 0735.73010) Full Text: DOI
Hlaváček, Ivan Korn’s inequality uniform with respect to a class of axisymmetric bodies. (English) Zbl 0673.49004 Apl. Mat. 34, No. 2, 146-154 (1989). MSC: 49J20 35J55 74B99 PDFBibTeX XMLCite \textit{I. Hlaváček}, Apl. Mat. 34, No. 2, 146--154 (1989; Zbl 0673.49004) Full Text: EuDML
Hlaváček, Ivan Inequalities of Korn’s type, uniform with respect to a class of domains. (English) Zbl 0673.49003 Apl. Mat. 34, No. 2, 105-112 (1989). MSC: 49J20 35J55 74B99 PDFBibTeX XMLCite \textit{I. Hlaváček}, Apl. Mat. 34, No. 2, 105--112 (1989; Zbl 0673.49003) Full Text: EuDML
Oleinik, O. A. Some asymptotic problems of linear elasticity. (English) Zbl 0651.73008 Material instabilities in continuum mechanics, Proc. Symp. Edinburgh/Scotl. 1985/86, 343-357 (1988). Reviewer: V.K.Arya MSC: 74B99 74B05 74S30 49J45 31B30 31B20 PDFBibTeX XML
Russo, Remigio A note on the first Korn’s inequality. (English) Zbl 0579.73015 J. Elasticity 16, 105-107 (1986). MSC: 74S30 26B12 49S05 PDFBibTeX XMLCite \textit{R. Russo}, J. Elasticity 16, 105--107 (1986; Zbl 0579.73015) Full Text: DOI
Duvaut, Georges; Lions, Jacques-Louis Inequalities in mechanics and physics. (Neravenstva v mekhanike i fizike). Transl. from the French by S. Yu. Prishchepionok i. T. N. Rozhkovskaya. (Russian) Zbl 0508.73001 Moskva: “Nauka”. 384 p. (1980). MSC: 74-02 35-02 74B05 35A15 35B45 35Gxx 35Jxx 35Kxx 35Lxx 49S05 76A05 74A15 74F10 74D99 74K20 74C99 74F15 49J40 PDFBibTeX XML