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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
Abstract
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.
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- Copyright © Australian Mathematical Society 1985
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