On Concavity of Solutions of the Nonlinear Poisson Equation

Author:

Steinerberger StefanORCID

Funder

Division of Mathematical Sciences

Alfred P. Sloan Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference41 articles.

1. Arango, J., Gomez, A.: Critical points of solutions to elliptic problems in planar domains. Commun. Pure Appl. Anal. 10(1), 327–338, 2011

2. Baernstein, A.: Symmetrization in analysis. With David Drasin and Richard S. Laugesen. With a Foreword by Walter Hayman. New Mathematical Monographs, vol. 36, Cambridge University Press, Cambridge, 2019

3. Bandle, C.: On isoperimetric gradient bounds for Poisson problems and problems of torsional creep. Z. Angew. Math. Phys. 30(4), 713–715, 1979

4. Beck, T.: Uniform level set estimates for ground state eigenfunctions. SIAM J. Math. Anal. 50(4), 4483–4502, 2018

5. Beck, T.: The torsion function of convex domains of high eccentricity. Potential Anal. 53, 701–726, 2020

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1. Concavity of solutions to semilinear equations in dimension two;Bulletin of the London Mathematical Society;2022-11-05

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