Convexity of solutions of semilinear elliptic equations

Author:

Caffarelli Luis A.,Friedman Avner

Publisher

Duke University Press

Subject

General Mathematics

Reference16 articles.

1. [1] A. Acker, L. E. Payne, and G. Philippin, 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 proble, Z. Angew. Math. Phys. 32 (1981), no. 6, 683–694.

2. [2] A. D. Alexandrov, Majorization of solutions of second order of linear equations, Verstrik Leningrad. Univ. 21 (1966), 5–25, English translation in Amer. Math. Soc. Transl. (2) 68 (1968), 120–143.

3. [3]1 R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts Vol. I: The Theory of the Steady State, Clarendon Press, Oxford, 1975.

4. [3]2 R. Aris, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts Vol. II: Questions of Uniqueness, Stability, and Transient Behaviour, Clarendon Press, Oxford, 1975.

5. [4] I. Ja. Bakelman, On the theory of quasilinear elliptic equations, Sibirsk. Mat. Ž. 2 (1961), 179–186.

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