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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some maximum principles in semilinear elliptic equations


Author: Philip W. Schaefer
Journal: Proc. Amer. Math. Soc. 98 (1986), 97-102
MSC: Primary 35B50; Secondary 35J60
MathSciNet review: 848884
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Abstract: We develop maximum principles for functions defined on the solutions to a class of semilinear, second order, uniformly elliptic partial differential equations. These principles are related to recent theorems of Protter and Protter and Weinberger and to a technique initiated by Payne for the determination of gradient bounds on the solution of the equation.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0848884-X
PII: S 0002-9939(1986)0848884-X
Keywords: Semilinear elliptic equations, maximum principles
Article copyright: © Copyright 1986 American Mathematical Society