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Some remarks on Korn’s inequality. (English) Zbl 0169.55904


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[1] A. Korn,Solution générale du problème d’équilibre dans la théorie de l’élasticité dans le cas où les efforts sont donnés à la surface. Ann. fac. sci. Toulouse, ser. 2,10, 165–269 (1908). · JFM 39.0853.03
[2] A. Korn,Über einige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen. Bull. Int. Cracovie Akademie Umiejet, Classe des sci. math. nat. 1909, 705–724. · JFM 40.0884.02
[3] K. O. Friedrichs,On the Boundary Value Problems of the Theory of Elasticity and Korn’s Inequality, Ann. of Math.48, 441–471 (1947). · Zbl 0029.17002 · doi:10.2307/1969180
[4] L. E. Payne andH. F. Weinberger,On Korn’s Inequality, Arch. Rat. Mech. Anal.8, 89–98 (1961). · Zbl 0107.31105 · doi:10.1007/BF00277432
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[8] R. Eubanks andE. Sternberg,On the Completeness of the Boussinesq-Papkovich Stress Functions, J. Rat. Mech. Anal.5, 735–746 (1956). · Zbl 0072.19002
[9] O. A. Ladyzhenskaya,The Mathematical Theory of Viscous Incompressible Flow. Translated into English byR. A. Silverman (Gordon & Breach, New York, London 1963). · Zbl 0121.42701
[10] I. S. Sokolnikoff,Mathematical Theory of Elasticity (McGraw-Hill, New York, Toronto and London 1956). · Zbl 0070.41104
[11] S. G. Mihlin,Further Investigation of the Cosserat Functions, Vestnik Leningrad. Univ.22, no. 7, 96–102 (1967).
[12] L. Hörmander,Linear Partial Differential Operators (Springer Verlag, Berlin, Göttingen and Heidelberg 1964).
[13] S. Agmon, A. Douglis andL. Nirenberg,Estimates Near the Boundary for Solution of Partial Differential Equations II, Comm. Pure Appl. Math.17, 35–92 (1964). · Zbl 0123.28706 · doi:10.1002/cpa.3160170104
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