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

页码：811 / 816

页数：6

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