Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Some maximum principles for nonlinear elliptic boundary-value problems

Author: Philip W. Schaefer
Journal: Quart. Appl. Math. 35 (1978), 517-523
MSC: Primary 35J25
DOI: https://doi.org/10.1090/qam/479828
MathSciNet review: 479828
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Abstract: The Hopf maximum principles are utilized to obtain maximum principles for functions which are defined on solutions of nonlinear, second-order elliptic equations subject to Dirichlet, Robin, or mixed boundary conditions. The principles derived may be used to deduce bounds on important quantities in physical problems of interest.

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DOI: https://doi.org/10.1090/qam/479828
Article copyright: © Copyright 1978 American Mathematical Society

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