Bifurcation near infinity for the Neumann problem with concave-convex nonlinearities

被引：0
|
作者：
Papageorgiou, Nikolaos S. [1 ]
Radulescu, Vicentiu D. [2 ,3 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[3] Acad Romana, Simion Stoilow Inst Math, Bucharest 014700, Romania
来源：
COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 10期
关键词：
D O I：
10.1016/j.crma.2014.08.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this Note, we study a class of Neumann parametric elliptic equations driven by a nonhomogeneous differential operator and with a reaction that exhibits competing terms (concave-convex nonlinearities). Using the Ambrosetti-Rabinowitz condition and related topological and variational arguments, we prove a bifurcation result for large values of the parameter. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：811 / 816
页数：6
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