Classification of solutions of some nonlinear elliptic equations
Wenxiong Chen and Congming Li
Source: Duke Math. J. Volume 63, Number 3
(1991), 615-622.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077296071
Mathematical Reviews number (MathSciNet): MR1121147
Zentralblatt MATH identifier: 0768.35025
Digital Object Identifier: doi:10.1215/S0012-7094-91-06325-8
References
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Mathematical Reviews (MathSciNet): MR1113099
Zentralblatt MATH: 0741.35014
Digital Object Identifier: doi:10.1080/03605309108820770
[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.
Mathematical Reviews (MathSciNet): MR84a:35083
Zentralblatt MATH: 0469.35052
[3] H. Berestycki and L. Nirenberg, Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains, to appear.
Mathematical Reviews (MathSciNet): MR1039342
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[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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Digital Object Identifier: doi:10.1002/cpa.3160420304
[6] B. Gidas and J. Spruck, Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 34 (1981), no. 4, 525–598.
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Digital Object Identifier: doi:10.1002/cpa.3160340406
[7] W. Ding, personal communication.
[8] H. Brezis and F. Merle, Estimates on the solutions of $\Delta u=v(x) \exp u(x)$ on $R^2$, preprint.
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