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Volumn 17, Issue 4, 1998, Pages 843-857

On inequalities of friedrichs and babuška-aziz in dimension three

Author keywords

Eigenvalues; Functional inequalities; Linear elasticity; Optimal constants; Stokes equations

Indexed keywords


EID: 0348122341     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/854     Document Type: Article
Times cited : (19)

References (12)
  • 2
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    • Sur les équations de la théorie de l'élasticité
    • Cosserat, E. and F. Cosserat: Sur les équations de la théorie de l'élasticité. C.R. Acad. Sci. Paris 126 (1898), 1089-1091.
    • (1898) C.R. Acad. Sci. Paris , vol.126 , pp. 1089-1091
    • Cosserat, E.1    Cosserat, F.2
  • 4
    • 84968486297 scopus 로고
    • On certain inequalities and characteristic value problems for analytic functions of two variables
    • Friedrichs, K. O.: On certain inequalities and characteristic value problems for analytic functions of two variables. Trans. Amer. Math. Soc. 41 (1937), 321-364.
    • (1937) Trans. Amer. Math. Soc. , vol.41 , pp. 321-364
    • Friedrichs, K.O.1
  • 6
    • 0020599106 scopus 로고
    • On inequalities of Korn, Friedrichs and Babuška-Aziz
    • Horgan, C. O. and L. E. Payne: On inequalities of Korn, Friedrichs and Babuška-Aziz. Arch. Rat. Mech. Anal. 82 (1983), 165-179.
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 165-179
    • Horgan, C.O.1    Payne, L.E.2
  • 7
    • 0029543086 scopus 로고
    • Korn's inequalities and their applications in continuum mechanics
    • Horgan, C. O.: Korn's inequalities and their applications in continuum mechanics. SIAM Review 37 (1995), 491-511.
    • (1995) SIAM Review , vol.37 , pp. 491-511
    • Horgan, C.O.1
  • 8
    • 0037645248 scopus 로고
    • Inequalities of Korn and Friedrichs in elasticity and potential theory
    • Horgan, C. O.: Inequalities of Korn and Friedrichs in elasticity and potential theory. J. Appl. Math. Phys. (ZAMP) 26 (1975), 155-164.
    • (1975) J. Appl. Math. Phys. (ZAMP) , vol.26 , pp. 155-164
    • Horgan, C.O.1
  • 9
    • 0039678959 scopus 로고
    • Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations
    • Ladyzhenskaya, O. A. and V. A. Solonnikov: Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations. Soviet Math. 10 (1978), 257-286.
    • (1978) Soviet Math. , vol.10 , pp. 257-286
    • Ladyzhenskaya, O.A.1    Solonnikov, V.A.2
  • 10
    • 84916013773 scopus 로고
    • The spectrum of a family of operators in the theory of elasticity
    • Mikhlin, S. G.: The spectrum of a family of operators in the theory of elasticity. Russ. Math. Surveys 28 (1973)3, 43-82.
    • (1973) Russ. Math. Surveys , vol.28 , Issue.3 , pp. 43-82
    • Mikhlin, S.G.1
  • 11
    • 0001602584 scopus 로고    scopus 로고
    • On inequalities of Friedrichs and Babuška-Aziz
    • Velte, W.: On inequalities of Friedrichs and Babuška-Aziz. Meccanica 31 (1996), 589-596.
    • (1996) Meccanica , vol.31 , pp. 589-596
    • Velte, W.1
  • 12
    • 0004183457 scopus 로고
    • On optimal constants in some inequalities
    • Velte, W.: On optimal constants in some inequalities. Lect. Notes Math. 1431 (1990), 158-168.
    • (1990) Lect. Notes Math. , vol.1431 , pp. 158-168
    • Velte, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.