UNILATERAL GLOBAL BIFURCATION FOR p-LAPLACIAN WITH NON-p-1-LINEARIZATION NONLINEARITY

被引：14

作者：

Dai, Guowei ^{[1
]}

Ma, Ruyun ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 01期

关键词：

Unilateral bifurcation; half-quasilinear problems; nodal solutions; p-Laplacian; STURM-LIOUVILLE PROBLEMS; BOUNDARY-VALUE-PROBLEMS; EIGENVALUE PROBLEMS; DIFFERENTIAL-EQUATIONS; NODAL SOLUTIONS; 2ND-ORDER; INFINITY;

D O I：

10.3934/dcds.2015.35.99

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a unilateral global bifurcation result from interval for a class of p-Laplacian problems. By applying above result, we study the spectrum of a class of half-quasilinear problems. Moreover, we also investigate the existence of nodal solutions for a class of half-quasilinear eigenvalue problems.

引用

页码：99 / 116

页数：18

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