Asymptotic bifurcation results for quasilinear elliptic operators

被引：6

作者：

Chabrowski, Jan ^{[1
]}

Drabek, Pavel

Tonkes, Elliot

机构：

[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

[2] Univ W Bohemia, Dept Math, CZ-30614 Plzen, Czech Republic

来源：

GLASGOW MATHEMATICAL JOURNAL | 2005年 / 47卷

关键词：

D O I：

10.1017/S001708950400206X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop results for bifurcation from the principal eigenvalue for certain operators based on the p-Laplacian and containing a superlinear nonlinearity with a critical Sobolev exponent. The main result concerns an asymptotic estimate of the rate at which the solution branch departs from the eigenspace. The method can also be applied for nonpotential operators.

引用

页码：55 / 67

页数：13

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