Almi, Stefano; Krömer, Stefan; Molchanova, Anastasia A new example for the Lavrentiev phenomenon in nonlinear elasticity. (English) Zbl 07782176 Z. Angew. Math. Phys. 75, No. 1, Paper No. 2, 21 p. (2024). MSC: 74B20 46E35 PDFBibTeX XMLCite \textit{S. Almi} et al., Z. Angew. Math. Phys. 75, No. 1, Paper No. 2, 21 p. (2024; Zbl 07782176) Full Text: DOI arXiv OA License
Krömer, Stefan; Valdman, Jan Surface penalization of self-interpenetration in linear and nonlinear elasticity. (English) Zbl 1525.74019 Appl. Math. Modelling 122, 641-664 (2023). MSC: 74B20 74G65 PDFBibTeX XMLCite \textit{S. Krömer} and \textit{J. Valdman}, Appl. Math. Modelling 122, 641--664 (2023; Zbl 1525.74019) Full Text: DOI arXiv
Gussmann, Pascal; Mielke, Alexander Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks. (English) Zbl 1431.49013 Adv. Calc. Var. 13, No. 1, 33-52 (2020). MSC: 49J45 74M15 35J86 49J40 74B20 49S05 35Q74 PDFBibTeX XMLCite \textit{P. Gussmann} and \textit{A. Mielke}, Adv. Calc. Var. 13, No. 1, 33--52 (2020; Zbl 1431.49013) Full Text: DOI
Krömer, Stefan; Valdman, Jan Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms. (English) Zbl 07273387 Math. Mech. Solids 24, No. 11, 3644-3673 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Krömer} and \textit{J. Valdman}, Math. Mech. Solids 24, No. 11, 3644--3673 (2019; Zbl 07273387) Full Text: DOI arXiv
Swanson, David; Ziemer, William P. The image of a weakly differentiable mapping. (English) Zbl 1070.46026 SIAM J. Math. Anal. 35, No. 5, 1099-1109 (2004). MSC: 46E35 55M25 74B99 PDFBibTeX XMLCite \textit{D. Swanson} and \textit{W. P. Ziemer}, SIAM J. Math. Anal. 35, No. 5, 1099--1109 (2004; Zbl 1070.46026) Full Text: DOI
Schuricht, Friedemann; von der Mosel, Heiko Euler-Lagrange equations for nonlinearly elastic rods with self-contact. (English) Zbl 1030.74029 Arch. Ration. Mech. Anal. 168, No. 1, 35-82 (2003). MSC: 74K10 74G45 74M15 35Q72 PDFBibTeX XMLCite \textit{F. Schuricht} and \textit{H. von der Mosel}, Arch. Ration. Mech. Anal. 168, No. 1, 35--82 (2003; Zbl 1030.74029) Full Text: DOI
Healey, T. J. Global continuation in displacement problems of nonlinear elastostatics via the Leray-Schauder degree. (English) Zbl 1015.74013 Arch. Ration. Mech. Anal. 152, No. 4, 273-282 (2000). MSC: 74G25 74B20 PDFBibTeX XMLCite \textit{T. J. Healey}, Arch. Ration. Mech. Anal. 152, No. 4, 273--282 (2000; Zbl 1015.74013) Full Text: DOI
Müller, Stefan; Spector, Scott J.; Tang, Qi Invertibility and a topological property of Sobolev maps. (English) Zbl 0855.73028 SIAM J. Math. Anal. 27, No. 4, 959-976 (1996). MSC: 74B20 74B10 46E35 26B99 PDFBibTeX XMLCite \textit{S. Müller} et al., SIAM J. Math. Anal. 27, No. 4, 959--976 (1996; Zbl 0855.73028) Full Text: DOI