Multiplicity of solutions for fractional p-Laplacian equation with indefinite nonlinearity

被引：0
|
作者：
de Paiva, Francisco Odair [1 ]
Villena, Diana Rodriguez [1 ]
机构：
[1] Univ Fed Sao Carlos UFSCar, Dept Matemat, Sao Carlos, Brazil
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 12期
基金：
巴西圣保罗研究基金会;
关键词：
Fractional p-Laplacian; indefinite nonlinearity; positive solutions; multiple solutions; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE;
D O I：
10.1080/17476933.2022.2098278
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence and multiplicity of positive solutions for the quasi-linear problem {(- Lambda(p))(s)u = lambda vertical bar u vertical bar(p-2)u + a(x)vertical bar u vertical bar(q-2)u in Omega, u = 0 in R-N backslash Omega, where Omega is a bounded domain in R-N, lambda a real parameter, 1 < p < q and a changes sign.
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页码：2059 / 2072
页数：14
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