Weighted Korn inequalities in paraboloidal domains

Mathematical Notes

Volumn 62, Issue 5, 1997, Pages 629-641

  Nazarov, S A ^a  

^a ADMIRAL MAKAROV STATE UNIVERSITY OF MARITIME AND INLAND SHIPPING   (Russian Federation)

Author keywords

Boundary value problems in unbounded domains; Elasticity problem; Energy class; Korn inequalities

Indexed keywords

EID: 0039743270     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02361301     Document Type: Article

References (8)

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2. V. A. Kondrat'ev and O. A. Oleinik, "On the dependence of constants in the Korn inequality on a parameter characterizing the geometry of the domain," Uspekhi Mat. Nauk [Russian Math. Surveys], 44, No. 6, 157-158 (1989).
3. V. A. Kondratiev and O. A. Olcinik, "Korn's type inequalities for a class of unbounded domains and applications to boundary value problems in elasticity," in: Elasticity. Mathematical Methods and Application (G.'Eason and R. W. Ogden, editors), Horword, Chichester (1990), pp. 211-233.
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5. S. A. Nazarov and B. A. Plamenevsky, Elliptic Problems in Domains with Piecewise Smooth Boundaries, Walter de Gruyter, Berlin (1994).
6. G. Duvaut and J.-L. Lions, Les inéquations en méchanique et en physique, Dunod, Paris (1972).
7. V. A. Kondrat'ev and O. A. Oleinik, "Boundary value problems for an elasticity system in unbounded domains. Korn inequality," Uspekhi Mat. Nauk [Russjan Math. Surveys], 43, No. 5, 55-98 (1988).
8. O. A. Oleinik, "Korn's type inequalities and applications to elasticity," Convegno internazionale in memoria di Vito Volterra, Atti Accad. Naz. Lincei. Cl. Sci. Fis. Mat. Natur. Mem. (9) Mat. Appl., 92, 183-209 (1992).