On Korn's second inequality
RAIRO. Analyse numérique, Tome 15 (1981) no. 3, pp. 237-248. 
@article{M2AN_1981__15_3_237_0,
     author = {Nitsche, J. A.},
     title = {On {Korn's} second inequality},
     journal = {RAIRO. Analyse num\'erique},
     pages = {237--248},
     publisher = {Centrale des revues, Dunod-Gauthier-Villars},
     address = {Montreuil},
     volume = {15},
     number = {3},
     year = {1981},
     mrnumber = {631678},
     zbl = {0467.35019},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_1981__15_3_237_0/}
}
TY  - JOUR
AU  - Nitsche, J. A.
TI  - On Korn's second inequality
JO  - RAIRO. Analyse numérique
PY  - 1981
SP  - 237
EP  - 248
VL  - 15
IS  - 3
PB  - Centrale des revues, Dunod-Gauthier-Villars
PP  - Montreuil
UR  - http://archive.numdam.org/item/M2AN_1981__15_3_237_0/
LA  - en
ID  - M2AN_1981__15_3_237_0
ER  - 
%0 Journal Article
%A Nitsche, J. A.
%T On Korn's second inequality
%J RAIRO. Analyse numérique
%D 1981
%P 237-248
%V 15
%N 3
%I Centrale des revues, Dunod-Gauthier-Villars
%C Montreuil
%U http://archive.numdam.org/item/M2AN_1981__15_3_237_0/
%G en
%F M2AN_1981__15_3_237_0
Nitsche, J. A. On Korn's second inequality. RAIRO. Analyse numérique, Tome 15 (1981) no. 3, pp. 237-248. http://archive.numdam.org/item/M2AN_1981__15_3_237_0/

[1] P. G. Ciarlet, The Finite Element Method for Elliptic Problems. Studies in Mathematics and its Applications. North-Holland Publ. Comp., Amsterdam-New York- Oxford (1978). | MR | Zbl

[2] G. Duvaut and J. L. Lions, Les Inéquations en Mécanique et en Physique, Dunod, Paris (1972). | MR | Zbl

[3] G. Fichera, Linear Elliptic Differential Systems and Eigenvalue Problems. Springer-Verlag, Berlin-Heidelberg-New York (1965). | MR | Zbl

[4] G. Fichera, Existence theorems in elasticity-boundary value problems of elasticity with unilateral constraints. Encyclopedia of Physics (S. Flügge, Chief Editor), Vol. VIa/2 : Mechanics of Solids II (C. Truesdell, Editor), pp. 347-424, Springer-Verlag, Berlin (1972).

[5] K. O. Friedrichs, On the boundary value problems of the theory of elasticity and Korn's inequality. Ann. of Math., 48, (1947), 441-471. | MR | Zbl

[6] 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. Université Toulouse (1908), 165-269. | JFM | Numdam

[7] A. Korn, Über einige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen. Bull. Intern. Cracov. Akad. umiejet (Classe Sci. Math. nat.) (1909) 706-724. | JFM

[8] L. E. Payne and H. F. Weinberger, On korn's inequality. Arch. Rational Mech. Anal., 8, (1961), 89-98. | MR | Zbl

[9] E. M. Stein, Singular integrals and differentiability properties of functions. Princeton Univ. Press, Princeton, N. J. (1970). | MR | Zbl

[10] W. Velte, Direkte Methoden der Variationsrechnung. . B. G. Teubner, Stuttgart (1976). | MR | Zbl