Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian

被引：7

作者：

Candito, Pasquale ^{[1
,2
]}

Gasinski, Leszek ^{[3
]}

Livrea, Roberto ^{[2
,4
]}

Santos Junior, Joao R. ^{[5
]}

机构：

[1] Univ Reggio Calabria, Dept DICEAM, Via Graziella Feo Di Vito, I-89122 Reggio Di Calabria, Italy

[2] Ist Nazl Alta Matemat INdAM, Grp Nazl Anal Matemat Probabil & Applicaz GNAMPA, Rome, Italy

[3] Pedag Univ Cracow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland

[4] Univ Palermo, Dept Math & Comp Sci, Via Archirafi, I-90123 Palermo, Italy

[5] Univ Fed Para, Fac Matemat, Inst Ciencias Exatas & Nat, Ave Augusto Correa 01, BR-66075110 Belem, Para, Brazil

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2022年 / 11卷 / 01期

关键词：

Nonlocal problems; p-Laplacian; sign-changing coefficient; multiple fixed points; CRITICAL-POINTS; OPEN SUBLEVELS;

D O I：

10.1515/anona-2021-0200

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the L-q-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of "positive bumps" of the degenerate term. The solutions are also ordered according to their L-q-norms.

引用

页码：357 / 368

页数：12

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