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The power concavity of solutions of some semilinear elliptic boundary-value problems

Published online by Cambridge University Press:  17 April 2009

Grant Keady
Grant Keady
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia 6009, Australia.
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Abstract

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Let Ω be a bounded convex domain in R2 with a smooth boundary. Let 0 < γ < 1. Let be a solution, positive in Ω, of

Then the function uα is concave for α = (l–γ)/2.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 2 , April 1985 , pp. 181 - 184
Copyright
Copyright © Australian Mathematical Society 1985

References

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