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.
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页码：3086 / 3096
页数：11
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