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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

Completeness of the Papkovich potentials


Author: M. Stippes
Journal: Quart. Appl. Math. 26 (1969), 477-483
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/239801
MathSciNet review: 239801
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References [Enhancements On Off] (What's this?)

    R. D. Mindlin, Bull. Amer. Math. Soc. 42, 373–376 (1936) M. Stippes, Inter. Jour. Solids and Struct, (to appear)
  • M. E. Gurtin, On Helmholtz’s theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains, Arch. Rational Mech. Anal. 9 (1962), 225–233. MR 187467, DOI https://doi.org/10.1007/BF00253346
  • R. A. Eubanks and E. Sternberg, On the completeness of the Boussinesq-Papkovich stress functions, J. Rational Mech. Anal. 5 (1956), 735–746. MR 79897, DOI https://doi.org/10.1512/iumj.1956.5.55027
  • N. I. Muschelishvili, Some basic problems of the mathematical theory of elasticity, 4th ed., 1963.
  • S. G. Mikhlin, Multidimensional singular integrals and integral equations, Pergamon Press, Oxford-New York-Paris, 1965. Translated from the Russian by W. J. A. Whyte; Translation edited by I. N. Sneddon. MR 0185399

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Article copyright: © Copyright 1969 American Mathematical Society