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On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
Author(s) -
Berger Melvyn S.
Publication year - 1967
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160200405
Subject(s) - buckling , dirichlet distribution , mathematics , nonlinear system , mathematical analysis , calculus (dental) , algebra over a field , pure mathematics , physics , boundary value problem , quantum mechanics , thermodynamics , medicine , dentistry
summary:Solvability of the general boundary value problem for von Kármán system of nonlinear equations is studied. The problem is reduced to an operator equation. Coerciveness of the corresponding operator is proved, which together with its other properties implies the existence of a solution