Dirichlet and Neumann Boundary Problems in Linearized Elastostatics. Existence, Uniqueness, and Regularity

  • Tullio Valent
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 31)


Our approach to boundary problems of finite elastostatics is of local type; hence, it requires the existence of deformations at which the linearized operator is a homeomorphism between suitable Banach spaces. The aim of this chapter is to provide appropriate results of existence, uniqueness, and regularity for the principal boundary problems of linearized elastostatics: namely, for the Dirichlet and Neumann problems.


Banach Space Dirichlet Problem Neumann Problem Regularity Theorem Topological Linear Space 
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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • Tullio Valent
    • 1
  1. 1.Dipartimento di Matematica Pura ed ApplicataUniversità di PadovaPadovaItaly

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