Harnack type inequality: the method of moving planes

被引：250
作者：
Li, YY [1 ]
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 200卷 / 02期
关键词：
D O I：
10.1007/s002200050536
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A Harnack type inequality is established for solutions to some semilinear elliptic equations in dimension two. The result is motivated by our approach to the study of some semilinear elliptic equations on compact Riemannian manifolds, which originated from some Chern-Simons Higgs model and have been studied recently by various authors.
引用
收藏
页码：421 / 444
页数：24
相关论文
共 47 条
  • [1] Aleksandrov A. D., 1962, AM MATH SOC TRANSL, V21, P412
  • [2] Aleksandrov A. D., 1962, Amer. Math. Soc. Transl., V21, P403
  • [3] ALEXANDROV A, 1962, VESTNIK LENINGRAD U, V11, P341, DOI DOI 10.1090/TRANS2/021/09
  • [4] Alexandrov A. D., 1962, AM MATH SOC TRANSL, V21, P389
  • [5] Alexandrov A. D., 1962, AM MATH SOC TRANSL, V21, P354
  • [6] Aubin Thierry, 1982, GRUNDLEHREN MATH WIS, V252
  • [7] Berestycki H., 1990, Analysis, et Cetera, P115
  • [8] Berestycki H., 1988, J. Geom. Phys., V5
  • [9] Berestycki H., 1991, Bol Soc Brasileira Mat, V22, P1, DOI DOI 10.1007/BF01244896
  • [10] Berestycki H., 1993, BOUND VALUE PROBL PA, V29, P27
12345