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The Hadamard three-circles theorems for nonlinear equations

Part of: Partial differential equations

Published online by Cambridge University Press:  09 April 2009

R. Výborný
R. Výborný
Affiliation:
15 RialannaKenmoreQueensland 4069, Australia
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Abstract

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The aim of this paper is is to establish Hadamard's type three-circles theorems for fully nonlinear elliptic and parabolic inequalities.

MSC classification

Secondary: 35B50: Maximum principles
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 49 , Issue 2 , October 1990 , pp. 297 - 302
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Besala, P., ‘An extension of the strong maximum principle for parabolic equations,’ Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 19 (1971), 1003–1006.Google Scholar
[2]Dow, M. A., ‘Three-curves theorems for quasilinear inequalities’, Duke Math. J. 41 (1974), 473–482.CrossRefGoogle Scholar
[3]Krylov, N. V., ‘On the maximum principle for nonlinear parabolic and elliptic equations’, Math. USSR-Izv. 13 (1979), 335–347.CrossRefGoogle Scholar
[4]Protter, M. H. and Weinberger, H. F., Maximum principles in differential equations, (Prentice-Hall, Englewood Cliffs, New Jersey, 1967).Google Scholar
[5]Szarski, J., ‘Strong maximum principle for nonlinear parabolic differential-functional inequalities’, Ann. Polon. Math. 29 (1974), 207–214.CrossRefGoogle Scholar
[6]Výborný, R., ‘Hadamard's three-circles theorems for a quasilinear elliptic equation’, Bull. Amer. Math. Soc. 80 (1974), 81–84.CrossRefGoogle Scholar
[7]Walter, W., Differential and integral inequalities, (Springer-Verlag, Berlin, Heidelberg, New York, 1970).CrossRefGoogle Scholar