Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T00:20:23.740Z Has data issue: false hasContentIssue false

The Hadamard three-circles theorems for nonlinear equations

Published online by Cambridge University Press:  09 April 2009

R. Výborný
Affiliation:
15 RialannaKenmoreQueensland 4069, Australia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

MSC classification

Type
Research Article
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), 10031006.Google Scholar
[2]Dow, M. A., ‘Three-curves theorems for quasilinear inequalities’, Duke Math. J. 41 (1974), 473482.CrossRefGoogle Scholar
[3]Krylov, N. V., ‘On the maximum principle for nonlinear parabolic and elliptic equations’, Math. USSR-Izv. 13 (1979), 335347.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), 207214.CrossRefGoogle Scholar
[6]Výborný, R., ‘Hadamard's three-circles theorems for a quasilinear elliptic equation’, Bull. Amer. Math. Soc. 80 (1974), 8184.CrossRefGoogle Scholar
[7]Walter, W., Differential and integral inequalities, (Springer-Verlag, Berlin, Heidelberg, New York, 1970).CrossRefGoogle Scholar