Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A two-dimensional Saint-Venant principle for second-order linear elliptic equations

Authors: Lewis T. Wheeler and Cornelius O. Horgan
Journal: Quart. Appl. Math. 34 (1976), 257-270
MSC: Primary 35J15
DOI: https://doi.org/10.1090/qam/450770
MathSciNet review: 450770
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  • [3] Chee-leung Ho and James K. Knowles, Energy inequalities and error estimates for torsion of elastic shells of revolution, Z. Angew. Math. Phys. 21 (1970), 352–377 (English, with German summary). MR 0272242, https://doi.org/10.1007/BF01627942
  • [4] Lewis T. Wheeler, Matías J. Turteltaub, and Cornelius O. Horgan, A Saint-Venant principle for the gradient in the Neumann problem, Z. Angew. Math. Phys. 26 (1975), 141–153 (English, with German summary). MR 0366152, https://doi.org/10.1007/BF01591502
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  • [7] Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1967. MR 0219861
  • [8] Wheeler, Lewis T. and Cornelius O. Horgan, Upper and lower bounds for the shear stress in the Saint-Venant theory of flexure, J. of Elasticity 6 (1976)
  • [9] Horgan, Cornelius O. and Lewis T. Wheeler, Saint-Venant's principle and the torsion of thin shells of revolution, J. of Applied Mechanics (Trans. ASME) 43 (1976)
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DOI: https://doi.org/10.1090/qam/450770
Article copyright: © Copyright 1976 American Mathematical Society

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