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Maximum principles for a class of semilinear elliptic boundary-value problems

Published online by Cambridge University Press:  17 April 2009

Zhang Hailiang
Zhang Hailiang
Affiliation:
Department of MathematicsShaiuxi UniversityTaiyuan 030006The People's Republic of China
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Abstract

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For years it has remained a problem to find suitable functionals satisfying certain maximum principles for solutions of the equation Δu + f(x, u) = 0. In this paper, maximum principles for certain functionals which are defined on solutions of semilinear elliptic equations subject to mixed or Robin boundary conditions are obtained. The principles derived may be used to deduce bounds on important quantities in physical problems of interest.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 1 , August 1995 , pp. 169 - 175
Copyright
Copyright © Australian Mathematical Society 1995

References

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