Some results for the Gelfand's problem

被引：25
|
作者：
Gladiali, F [1 ]
Grossi, M [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 29卷 / 9-10期
关键词：
blowing up solutions; Green's function;
D O I：
10.1081/PDE-200037754
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under suitable assumptions on Omega subset of R-2, we prove nondegeneracy, uniqueness and star-shapedness of the level sets of solutions to the problem [GRAPHICS] where lambda integral(Omega) e(ulambda) --> 8pi as lambda --> 0.
引用
收藏
页码：1335 / 1364
页数：30
相关论文
共 50 条
  • [21] Numerical continuation and the Gelfand problem
    McGough, JS
    APPLIED MATHEMATICS AND COMPUTATION, 1998, 89 (1-3) : 225 - 239
  • [22] SOME RESULTS ON SPECKER PROBLEM
    APTER, AW
    GITIK, M
    PACIFIC JOURNAL OF MATHEMATICS, 1988, 134 (02) : 227 - 249
  • [23] SOME RESULTS ON THE CAPITULATION PROBLEM
    BOND, RJ
    JOURNAL OF NUMBER THEORY, 1981, 13 (02) : 246 - 254
  • [24] SOME RESULTS ON THE BOMBER PROBLEM
    SIMONS, G
    YAO, YC
    ADVANCES IN APPLIED PROBABILITY, 1990, 22 (02) : 412 - 432
  • [25] Some results on the Oberwolfach problem
    Hilton, AJW
    Johnson, M
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 64 : 513 - 522
  • [26] Some results on the Collatz problem
    Ştefan Andrei
    Manfred Kudlek
    Radu Ştefan Niculescu
    Acta Informatica, 2000, 37 : 145 - 160
  • [27] SOME RESULTS ON THE POMPEIU PROBLEM
    EBENFELT, P
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1993, 18 (02): : 323 - 341
  • [28] Some results on the Collatz problem
    Andrei, S
    Kudlek, M
    Niculescu, RS
    ACTA INFORMATICA, 2000, 37 (02) : 145 - 160
  • [29] Some results on the Wiener index related to the Šoltés problem of graphs
    Dobrynin, Andrey A.
    Vorob'ev, Konstantin V.
    DISCRETE APPLIED MATHEMATICS, 2024, 344 : 154 - 160
  • [30] Gelfand problem on a large spherical cap
    Kabeya, Yoshitsugu
    Moroz, Vitaly
    JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2021, 7 (01) : 1 - 23
12345