Ciarlet, Philippe G.; Mardare, Cristinel; Mardare, Sorin Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey. (English) Zbl 1362.53051 Chin. Ann. Math., Ser. B 38, No. 1, 253-280 (2017). MSC: 53C24 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., Chin. Ann. Math., Ser. B 38, No. 1, 253--280 (2017; Zbl 1362.53051) Full Text: DOI
Ciarlet, Philippe G.; Mardare, Sorin Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\). (English. French summary) Zbl 1337.53009 J. Math. Pures Appl. (9) 105, No. 6, 873-906 (2016). MSC: 53A07 53B21 74B20 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{S. Mardare}, J. Math. Pures Appl. (9) 105, No. 6, 873--906 (2016; Zbl 1337.53009) Full Text: DOI
Ciarlet, Philippe G.; Mardare, Cristinel Nonlinear Korn inequalities. (English. French summary) Zbl 1337.35144 J. Math. Pures Appl. (9) 104, No. 6, 1119-1134 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q74 35A23 74B20 53A99 74B05 74B15 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{C. Mardare}, J. Math. Pures Appl. (9) 104, No. 6, 1119--1134 (2015; Zbl 1337.35144) Full Text: DOI
Ciarlet, Philippe G.; Mardare, Sorin A nonlinear Korn inequality in \(W^{2,p}\), \(p>n\). (Une inégalité de Korn non linéaire dans \(W^{2,p}\), \(p>n\).) (French. Abridged English version) Zbl 1329.35018 C. R., Math., Acad. Sci. Paris 353, No. 10, 905-911 (2015). MSC: 35A23 74B20 35F20 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{S. Mardare}, C. R., Math., Acad. Sci. Paris 353, No. 10, 905--911 (2015; Zbl 1329.35018) Full Text: DOI