Keywords: general boundary value problems; principle of minimum potential energy; existence theorems; dual problem
@article{10_21136_AM_1980_103834,
author = {H\"unlich, Rolf and Naumann, Joachim},
title = {On general boundary value problems and duality in linear elasticity. {II}},
journal = {Applications of Mathematics},
pages = {11--32},
year = {1980},
volume = {25},
number = {1},
doi = {10.21136/AM.1980.103834},
mrnumber = {0554088},
zbl = {0453.73013},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103834/}
}
TY - JOUR AU - Hünlich, Rolf AU - Naumann, Joachim TI - On general boundary value problems and duality in linear elasticity. II JO - Applications of Mathematics PY - 1980 SP - 11 EP - 32 VL - 25 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103834/ DO - 10.21136/AM.1980.103834 LA - en ID - 10_21136_AM_1980_103834 ER -
%0 Journal Article %A Hünlich, Rolf %A Naumann, Joachim %T On general boundary value problems and duality in linear elasticity. II %J Applications of Mathematics %D 1980 %P 11-32 %V 25 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103834/ %R 10.21136/AM.1980.103834 %G en %F 10_21136_AM_1980_103834
Hünlich, Rolf; Naumann, Joachim. On general boundary value problems and duality in linear elasticity. II. Applications of Mathematics, Tome 25 (1980) no. 1, pp. 11-32. doi: 10.21136/AM.1980.103834
[1] Duvaut G., Lions J. L.: Les inéquations en mécanique et en physique. Dunod, Paris 1972. | MR | Zbl
[2] Ekeland I., Temam R.: Analyse convexe et problèmes variationnels. Dunod, Gauthier- Villars, Paris 1974. | MR | Zbl
[3] Fichera G.: Problemi elastostatici con vincoli unilaterali: il problemadi Signorini con ambigue condizioni al contorno. Atti Accad. Naz. Lincei, Memorie (Cl. Sci. fis., mat. e nat.), serie 8, vol. 7 (1964), 91-140. | MR
[4] Fichera G.: Boundary value problems of elasticity with unilateral constraints. In: Handbuch der Physik (Herausg.: S. Flügge), Band VI a/2, Springer, 1972.
[5] Gajewski H., Gröger K.: Konjugierte Operatoren und a-posteriori-Fehlerabschützungen. Math. Nachr. 73 (1976), ЗІ5-333. | DOI | MR
[6] Hess P.: On semi-coercive nonlinear problems. Indiana Univ. Math. J., 23 (1974), 645-654. | DOI | MR | Zbl
[7] Hlaváček I.: Variational principles in the linear theory of elasticity for general boundary conditions. Apl. Matem., 12 (1967), 425 - 447. | MR
[8] Hlaváček I., Nečas J.: On inequalities of Korn's type. II: Applications to linear elasticity. Arch. Rat. Mech. Anal., 36 (1970), 312-334. | DOI | MR | Zbl
[9] Ioffe A. D., Tikhomirov V. M.: The theory of extremum problems. (Russian). Moscow, 1974.
[10] Krein S. G.: Linear equations in a Banach space. (Russian). Moscow, 1971. | MR
[11] Lions J. L., Stampacchia G.: Variational inequalities. Comm. Pure Appl. Math., 20 (1967), 493-519. | DOI | MR | Zbl
[12] Nayroles B.: Duality and convexity in solid equilibrium problems. Laboratoire Méc. et d'Accoustique, C.N.R.S., Marseille 1974.
[13] Rockafellar R. T.: Duality and stability in extremum problems involving convex functions. Pacific J. Math., 21 (1967), 167-187. | DOI | MR | Zbl
[14] Schatzman M.: Problèmes aux limites non linéaires, non coercifs. Ann. Scuola Norm. Sup. Pisa, 27, serie III (1973), 640-686. | MR
Cité par Sources :