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

Author:

Keady Grant

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

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Torsion Log-Minkowski Problem;The Journal of Geometric Analysis;2024-05-06

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3. On Concavity of Solutions of the Nonlinear Poisson Equation;Archive for Rational Mechanics and Analysis;2022-03-09

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