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On some existence and uniqueness results in contact problems with nonlocal friction. (English) Zbl 0511.73122


MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
49J40 Variational inequalities
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[1] Adams, R. A., Sobolev Spaces (1975), Academic Press: Academic Press New York · Zbl 0186.19101
[2] Aubin, J. P., Approximation of Elliptic Boundary-Value Problems (1972), Wiley-Interscience: Wiley-Interscience New York
[3] Choquet-Bruhat, Y.; Dewitt-Morette, C.; Dillard-Bleick, M., Analysis, Manifolds and Physics (1977), North-Holland Publishing Company: North-Holland Publishing Company Amsterdam · Zbl 0385.58001
[4] Day, M. M., Normed Linear Spaces (1958), Springer-Verlag: Springer-Verlag Berlin · Zbl 0082.10603
[5] Duvaut, G., Equilibre d’un Solide Élastique avec Contact Unilatéral et Frottement de Coulomb, C. r. hebd. Séanc. Acad. Sci. Paris, 290A, 263-265 (February 1980)
[6] Duvaut, G.; Lions, J. L., Inequalities in Mechanics and Physics (1976), Springer: Springer Berlin · Zbl 0331.35002
[7] Ekeland, I.; Teman, R., Convex Analysis and Variational Problems (1976), North-Holland: North-Holland Amsterdam
[8] Kikuchi, N.; Oden, J. T., Contact Problems in Elasticity, (TICOM Report 79-8 (July 1979), University of Texas: University of Texas Austin) · Zbl 0685.73002
[9] Kinderlehrer, D.; Stampacchia, G., An Introduction to Variational Inequalities and Their Applications (1980), Academic Press: Academic Press New York · Zbl 0457.35001
[10] Lions, T. L., Quelques Méthodes de Résolution des Problémes aux Limites non-Linéaires (1969), Dunod Gauthier-Villars: Dunod Gauthier-Villars Paris · Zbl 0189.40603
[11] NečasJarušekHaslinger; NečasJarušekHaslinger · Zbl 0445.49011
[12] Showalter, R. E., A Green’s Formula for Weak Solutions of Variational Problems, Applied Nonlinear Analysis, 381-387 (1979) · Zbl 0466.35019
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