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Hypercircle estimates for nonlinear problems
Published online by Cambridge University Press: 17 February 2009
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.
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- Research Article
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- Copyright © Australian Mathematical Society 1980
References
[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
[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
[6]Synge, J. L., The hypercircle in mathematical physics (Cambridge University Press, 1957).CrossRefGoogle Scholar
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