Weighted Korn's Inequality for a Thin Plate with a Rough Surface

Russian Journal of Mathematical Physics

Volumn 7, Issue 3, 2000, Pages 279-287

  Chechkin, G A ^a   Pichugina, E A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034370265     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Friedrichs, K. O. On the Boundary Value Problems of the Theory of Elasticity and Korn's Inequality, Ann. Math., 1947, vol. 48, pp. 447-471.
2. Duvaut, G. and Lions, J. L., Les inéquations en méchanique et en physique, Paris: Dunod, 1972.
3. Kondrat'ev, V. A. and Oleinik, O. A., Boundary Value Problems for the System of Elasticity Theory in Unbounded Domains. Korn's Inequalities, Russian Math. Survey, 1988, vol. 43, pp. 65-119.
4. Kondrat'ev, V. A. and Oleinik, O. A., On the Dependence of Constants in Korn's Inequalities on Parameters, Characterizing the Geometry of a Domain, Russian Math. Survey, 1989, vol. 44, pp. 157-158.
5. Nazarov, S. A., Korn's Inequalities, Asymptotically Precise for Thin Domains, Vestnik S.-Peterburg. Univ., 1992, no. 8, pp. 19-24.
6. Nazarov, S. A., Verification of Asymptotic Theory of Thin Rods. Integral and Pointwise Estimates, Journal of Mathematical Sciences, vol. 17.
7. Nazarov, S. A., Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods, Math. Methods Appl. Sci., vol. 20, no. 3, pp. 219-243.
8. Oleinik, O. A., Shamaev, A. S., and Yosifian, G. A., Mathematical Problems in Elasticity and Homogenization, Amsterdam: North-Holland, 1992.