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On Korn’s second inequality. (English) Zbl 0467.35019

35B45 A priori estimates in context of PDEs
35J40 Boundary value problems for higher-order elliptic equations
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[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). Zbl0383.65058 MR520174 · Zbl 0383.65058
[2] G. DUVAUT and J. L. LIONS, Les Inéquations en Mécanique et en Physique, Dunod, Paris (1972). Zbl0298.73001 MR464857 · Zbl 0298.73001
[3] G. FICHERA, Linear Elliptic Differential Systems and Eigenvalue Problems. Springer-Verlag, Berlin-Heidelberg-New York (1965). Zbl0138.36104 MR209639 · Zbl 0138.36104 · doi:10.1007/BFb0079959
[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. Zbl0029.17002 MR22750 · Zbl 0029.17002 · doi:10.2307/1969180
[6] [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. Zbl39.0853.03 JFM39.0853.03 · JFM 39.0853.03 · eudml:72804
[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. JFM40.0884.02 · JFM 40.0884.02
[8] L. E. PAYNE and H. F. WEINBERGER, On korn’s inequality. Arch. Rational Mech. Anal., 8, (1961), 89-98. Zbl0107.31105 MR158312 · Zbl 0107.31105 · doi:10.1007/BF00277432
[9] E. M. STEIN, Singular integrals and differentiability properties of functions. Princeton Univ. Press, Princeton, N. J. (1970). Zbl0207.13501 MR290095 · Zbl 0207.13501
[10] W. VELTE, Direkte Methoden der Variationsrechnung. . B. G. Teubner, Stuttgart (1976). Zbl0333.49035 MR500387 · Zbl 0333.49035
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