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Volumn 2004, Issue , 2004, Pages 1-10

The Korn inequality for Jones domains

Author keywords

Jones domains; Korn inequality

Indexed keywords


EID: 9744266664     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (41)

References (19)
  • 3
    • 0003780010 scopus 로고    scopus 로고
    • Introduction to linear shell theory
    • P. G. Ciarlet and P. L. Lions, eds., Gauthier-Villars
    • P. G. Ciarlet, Introduction to linear shell theory, Series in Applied Mathematics, P. G. Ciarlet and P. L. Lions, eds., Gauthier-Villars, 1998.
    • (1998) Series in Applied Mathematics
    • Ciarlet, P.G.1
  • 4
    • 84968486297 scopus 로고
    • On certain inequalities and characteristic value problems for analytic functions and for functions of two variables
    • K. O. Friedrichs, On certain inequalities and characteristic value problems for analytic functions and for functions of two variables, Trans. Amer. Math. Soc., 41, pp. 321-364, 1937.
    • (1937) Trans. Amer. Math. Soc. , vol.41 , pp. 321-364
    • Friedrichs, K.O.1
  • 5
    • 0000606420 scopus 로고
    • On the boundary-value problems of the theory of elasticity and Korn's inequality
    • K. O. Friedrichs, On the boundary-value problems of the theory of elasticity and Korn's inequality, Ann. Math, 48, pp. 441-471, 1947.
    • (1947) Ann. Math. , vol.48 , pp. 441-471
    • Friedrichs, K.O.1
  • 6
    • 0001790517 scopus 로고    scopus 로고
    • Contre-exemples á l'inégalité de Korn et au Lemme de Lions dans des domaines irréguliers
    • Gauthiers-Villars
    • G. Geymonat, G. Gilardi, Contre-exemples á l'iné galité de Korn et au Lemme de Lions dans des domaines irréguliers, Equations aux Dérivées Partielles et Applications, Gauthiers-Villars, pp. 541-548, 1998.
    • (1998) Equations aux Dérivées Partielles et Applications , pp. 541-548
    • Geymonat, G.1    Gilardi, G.2
  • 7
    • 0029543086 scopus 로고
    • Korn's inequalities and their applications in continuum mechanics
    • C. O. Horgan, Korn's inequalities and their applications in continuum mechanics, SIAM Review, 37, pp. 491-511, 1995.
    • (1995) SIAM Review , vol.37 , pp. 491-511
    • Horgan, C.O.1
  • 8
    • 0020599106 scopus 로고
    • On inequalities of Korn, Friedrichs and Babuska-Aziz
    • C. O. Horgan, L. E. Payne, On inequalities of Korn, Friedrichs and Babuska-Aziz, Arch. Rational Mech. Anal., 82, pp. 165-179, 1983.
    • (1983) Arch. Rational Mech. Anal. , vol.82 , pp. 165-179
    • Horgan, C.O.1    Payne, L.E.2
  • 9
    • 0002428795 scopus 로고
    • Quasiconformal mappings and extendability of functions in Sobolev Spaces
    • P. W. Jones, Quasiconformal mappings and extendability of functions in Sobolev Spaces, Acta Math., 147, pp. 71-88, 1981.
    • (1981) Acta Math. , vol.147 , pp. 71-88
    • Jones, P.W.1
  • 12
    • 0010951670 scopus 로고
    • Die eigenschwingungen eines elastichen korpers mit ruhender oberflache
    • A. Korn, Die Eigenschwingungen eines elastichen Korpers mit ruhender Oberflache, Akad. der Wissensch Munich, Math-phys. Kl, Beritche, 36, pp. 351-401, 1906.
    • (1906) Akad. der Wissensch Munich, Math-phys. Kl, Beritche , vol.36 , pp. 351-401
    • Korn, A.1
  • 13
    • 0013260956 scopus 로고
    • Ubereinige ungleichungen, welche in der theorie der elastischen und elektrischen schwingungen eine rolle spielen
    • Cracovie Akademie Umiejet, Classe de sciences mathematiques et naturelles
    • A. Korn, Ubereinige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen, Bulletin Internationale, Cracovie Akademie Umiejet, Classe de sciences mathematiques et naturelles, pp. 705-724, 1909.
    • (1909) Bulletin Internationale , pp. 705-724
    • Korn, A.1
  • 14
    • 0000667107 scopus 로고
    • On Korn's second inequality
    • J. A. Nitsche, On Korn's second inequality, RAIRO J. Numer. Anal., 15, pp. 237-248, 1981.
    • (1981) RAIRO J. Numer. Anal. , vol.15 , pp. 237-248
    • Nitsche, J.A.1
  • 17
    • 9744256377 scopus 로고
    • Generalized Korn's inequalities
    • T. W. Ting, Generalized Korn's inequalities, Tensor 25, pp. 295-302, 1972.
    • (1972) Tensor , vol.25 , pp. 295-302
    • Ting, T.W.1
  • 18
    • 84988192894 scopus 로고
    • Local compactness for linear elasticity in irregular domains
    • N. Weck, Local compactness for linear elasticity in irregular domains, Math. Meth. Appl. Sci., 17, pp. 107-113, 1994.
    • (1994) Math. Meth. Appl. Sci. , vol.17 , pp. 107-113
    • Weck, N.1
  • 19
    • 77956456169 scopus 로고
    • Analytic extensions of differentiable functions defined in closed sets
    • H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc., 36, pp. 63-89, 1934.
    • (1934) Trans. Amer. Math. Soc. , vol.36 , pp. 63-89
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.