POSITIVE SOLUTIONS OF NONLINEAR ROBIN EIGENVALUE PROBLEMS

被引：7

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[2] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest 014700, Romania

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 11期

关键词：

Superdiffusive reaction; bifurcation type theorem; extremal positive solutions; p-Laplacian; nonlinear regularity; ELLIPTIC-EQUATIONS; BIFURCATION;

D O I：

10.1090/proc/13107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear eigenvalue problem driven by the p-Laplacian with Robin boundary condition. Using variational methods and truncation techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter. varies. We also produce extremal positive solutions and study their properties.

引用

页码：4913 / 4928

页数：16