Nonexistence and multiplicity of positive solutions for an equation with degenerate nonlocal diffusion

被引：12

作者：

Gasinski, Leszek ^{[1
]}

Junior Santos, Joao R. ^{[2
]}

机构：

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

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

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2020年 / 52卷 / 03期

关键词：

35J20; 35J25; 35Q74 (primary);

D O I：

10.1112/blms.12342

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence, nonexistence and multiplicity of positive solutions for a general class of degenerate nonlocal problems. The nonexistence results are provided in two different situations: under monotonicity assumptions involving the nonlinearity and without monotonicity conditions. A multiplicity result of positive solutions with ordered Lp-norms complement some recent results obtained in the Literature. Examples are provided in order to illustrate the applicability of our theorems.

引用

页码：489 / 497

页数：9

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