On existence of solution of the Dirichlet problem of fourth order partial differential equations with variable coefficients
Authors:
S. Balasundaram and P. K. Bhattacharyya
Journal:
Quart. Appl. Math. 41 (1983), 311-317
MSC:
Primary 35J40; Secondary 73C30
DOI:
https://doi.org/10.1090/qam/721421
MathSciNet review:
721421
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Abstract: Sufficient conditions for the existence and uniqueness of the solution of the Dirichlet problem of fourth order elliptic partial differential equations with variable coefficients have been derived. In a number of examples of practical interest, the easy applicability of these results has been shown.
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S. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells, McGraw-Hill, New York, 1955
M. S. Troitsky, Stiffened plates, Elsevier, New York, 1976
R. A. Adams, Sobolev spaces, Academic Press, New York, 1975.
M. T. Huber, Probleme der Statik technische wichtiger orthotroper Platten, Warsaw, 1929
S. G. Lekhnitskii, Anisotropic plates, Gordon and Breach, New York, 1968
J. L. Lions, Problèmes aux limites dans les équations dérivées partielles, Les presses de L’Universite de Montréal, Montréal, 1965
L. Schwartz, Théorie des distributions, Hermann, Paris, 1966
S. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells, McGraw-Hill, New York, 1955
M. S. Troitsky, Stiffened plates, Elsevier, New York, 1976
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Article copyright:
© Copyright 1983
American Mathematical Society
