BIFURCATION AND SYMMETRY-BREAKING IN A NONLINEAR ELLIPTIC EQUATION IN A CYLINDER

被引：0

作者：

LACHANDROBERT, T

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1992年 / 314卷 / 13期

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暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a semi-linear elliptic equation in a cylindrical domain with mixed boundary conditions. We show that there exists a critical value of the length of the cylinder for which non-uniform solutions (with respect to the direction of the axis of the cylinder) appear. Moreover, these solutions are monotonic in this direction. We prove afterwards the existence of multiples solutions as the length of the cylinder increases. Some other qualitative properties and a result with supercritical exponent are also given.

引用

页码：1009 / 1014

页数：6

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