GLOBAL ANALYSIS FOR A 2-DIMENSIONAL ELLIPTIC EIGENVALUE PROBLEM WITH THE EXPONENTIAL NONLINEARITY

被引：94

作者：

SUZUKI, T

机构：

[1] Department of Mathematics, Faculty of Science, Tokyo Metropolitan University, Minamiohsawa 1-1, Hachioji, Tokyo

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1992年 / 9卷 / 04期

关键词：

EMDEN-FOWLER EQUATION; SINGULAR LIMIT; GLOBAL BIFURCATION; REARRANGEMENT;

D O I：

10.1016/S0294-1449(16)30232-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Emden-Fowler equation - DELTAu = lambdae(u) in OMEGA subset-of R2, the connectivity of the trivial solution and the one-point blow-up singular limit is studied with respect to the parameter lambda > 0. The connectivity is assured when the domain OMEGA is simply connected and the total mass SIGMA = integral-OMEGA lambdae(u)dx tends to 8 pi from below, which is a generalization for the case that OMEGA is a ball.

引用

页码：367 / 397

页数：31

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