Existence and multiplicity of positive solutions for one-dimensional p-Laplacian problem with sign-changing weight

被引：0

作者：

Miao, Liangying ^{[1
]}

Xu, Man ^{[2
]}

He, Zhiqian ^{[3
]}

机构：

[1] Qinghai Minzu Univ, Coll Math & Stat, Xining 810007, Peoples R China

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

[3] Qinghai Univ, Sch Math & Phys, Xining 810016, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 06期

关键词：

p-Laplacian problem; positive solution; multiplicity; bifurcation; sign-changing weight; UNILATERAL GLOBAL BIFURCATION; NODAL SOLUTIONS; BLOW-UP;

D O I：

10.3934/era.2023156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show the positive solutions set for one-dimensional p-Laplacian prob-lem with sign-changing weight contains a reversed S-shaped continuum. By figuring the shape of unbounded continuum of positive solutions, we identify the interval of bifurcation parameter in which the p-Laplacian problem has one or two or three positive solutions according to the asymptotic behav-ior of nonlinear term at 0 and oo. The proof of the main result is based upon bifurcation technique.

引用

页码：3086 / 3096

页数：11

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