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.
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页码：4913 / 4928
页数：16
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