Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9939-1986-0848884-X
MathSciNet review: 848884
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35B50, 35J60

Retrieve articles in all journals with MSC: 35B50, 35J60


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0848884-X
Keywords: Semilinear elliptic equations, maximum principles
Article copyright: © Copyright 1986 American Mathematical Society