Convexity of solutions of semilinear elliptic equations
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Publication:1080066
DOI10.1215/S0012-7094-85-05221-4zbMath0599.35065OpenAlexW2055348880MaRDI QIDQ1080066
Avner Friedman, Luis A. Caffarelli
Publication date: 1985
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05221-4
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)
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Cites Work
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem
- A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions
- Further Results Concerning the Level Surfaces of the Green's Function for a 3-Dimensional Convex Domain (I)
- The Free Boundary of a Semilinear Elliptic Equation
- Elliptic Partial Differential Equations of Second Order
- Convexity properties of solutions to some classical variational problems
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