Serrin’s result for hyperbolic space and sphere
S. Kumaresan and Jyotshana Prajapat
Source: Duke Math. J. Volume 91, Number 1
(1998), 17-28.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077231887
Mathematical Reviews number (MathSciNet): MR1487977
Zentralblatt MATH identifier: 0941.35029
Digital Object Identifier: doi:10.1215/S0012-7094-98-09102-5
References
[1] H. Berestycki and L. Nirenberg, On the method of moving planes and the sliding method, Bol. Soc. Brasil. Mat. (N.S.) 22 (1991), no. 1, 1–37.
Mathematical Reviews (MathSciNet): MR93a:35048
Zentralblatt MATH: 0784.35025
Digital Object Identifier: doi:10.1007/BF01244896
[2] B. Gidas, W. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), no. 3, 209–243.
Mathematical Reviews (MathSciNet): MR80h:35043
Zentralblatt MATH: 0425.35020
Digital Object Identifier: doi:10.1007/BF01221125
Project Euclid: euclid.cmp/1103905359
[3] S. Kumaresan, A Course in Riemannian Geometry, to appear.
[4] M. H. Protter and H. F. Weinberger, Maximum principles in differential equations, Prentice-Hall Inc., Englewood Cliffs, N.J., 1967.
Mathematical Reviews (MathSciNet): MR36:2935
Zentralblatt MATH: 0153.13602
[5] J. Serrin, A symmetry problem in potential theory, Arch. Rational Mech. Anal. 43 (1971), 304–318.
Mathematical Reviews (MathSciNet): MR48:11545
Zentralblatt MATH: 0222.31007
Digital Object Identifier: doi:10.1007/BF00250468
Duke Mathematical Journal