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Hypercircle estimates for nonlinear problems

Published online by Cambridge University Press:  17 February 2009

A. M. Arthurs
A. M. Arthurs
Affiliation:
Department of Mathematics, University of York, York, Y01 5DD, England
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Abstract

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Recent hypercircie estimates for non-linear equations are extended to include a new class of boundary value problems of monotone type. The results are illustrated by the boundary value problem for the equilibrium-free surface of a liquid with prescribed contact angle.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 3 , January 1980 , pp. 330 - 337
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Adam, N. K., The physics and chemistry of surfaces (New York: Dover, 1968).Google Scholar
[2]Anderson, N. and Arthurs, A. M., “Maximum and minimum principles for capillary surface problems with prescribed contact angle”, J. Austral. Math. Soc. B 20 (1978), 285–289.CrossRefGoogle Scholar
[3]Arthurs, A. M., J. Math. Anal. Appl. 60 (1977), 483–492.CrossRefGoogle Scholar
[4]Arthurs, A. M. and Hart, V. G., “The method of the hypercircle for a class of nonlinear equations”, J. Austral. Math. Soc. B 21 (1979), 75–83.CrossRefGoogle Scholar
[5]Spruch, J., Comm. Pure Appl. Math. 28 (1975), 189–200.CrossRefGoogle Scholar
[6]Synge, J. L., The hypercircle in mathematical physics (Cambridge University Press, 1957).CrossRefGoogle Scholar