Existence of positive solutions for a semipositone p-Laplacian problem

被引：16
|
作者：
Castro, Alfonso [1 ]
de Figueredo, Djairo G. [2 ]
Lopera, Emer [3 ]
机构：
[1] Harvey Mudd Coll, Dept Math, Claremont, CA 91711 USA
[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Caixa Postal 6065, BR-13083859 Campinas, SP, Brazil
[3] Univ Nacl Colombia, Escuela Matemat, Sede Medellin, Apartado Aereo 3840, Medellin, Colombia
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2016年 / 146卷 / 03期
关键词：
mountain pass theorem; semipositone problem; positive solutions; p-Laplacian; maximum principles; a priori estimates; ELLIPTIC-EQUATIONS;
D O I：
10.1017/S0308210515000657
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of positive solutions to a semipositone p-Laplacian problem combining mountain pass arguments, comparison principles, regularity principles and a priori estimates.
引用
收藏
页码：475 / 482
页数：8
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