Classification of solutions of some nonlinear elliptic equations

Author:

Chen Wenxiong,Li Congming

Publisher

Duke University Press

Subject

General Mathematics

Reference8 articles.

1. [1] C. Li, Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domain, to appear in Comm. Partial Differential Equations.

2. [2] B. Gidas, W. M. Ni, and L. Nirenberg, Symmetry of positive solutions of nonlinear elliptic equations in $\bf R\spn$, Mathematical analysis and applications, Part A ed. L. Nachbin, Adv. in Math. Suppl. Stud., vol. 7, Academic Press, New York, 1981, pp. 369–402.

3. [3] H. Berestycki and L. Nirenberg, Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains, to appear.

4. [4] M. Obata, The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geometry 6 (1971/72), 247–258.

5. [5] L. Caffarelli, B. Gidas, and J. Spruck, Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, preprint.

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