Positive solutions for nonlinear periodic problems with concave terms

被引：7
|
作者：
Aizicovici, Sergiu [2 ]
Papageorgiou, Nikolaos S. [3 ]
Staicu, Vasile [1 ]
机构：
[1] Univ Aveiro, Dept Math, CIDMA, P-3810193 Aveiro, Portugal
[2] Ohio Univ, Dept Math, Athens, OH 45701 USA
[3] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 02期
关键词：
Concave and convex nonlinearities; C-condition; Mountain pass theorem; Local minimizer; Bifurcation-type theorem; Positive solution; NONTRIVIAL SOLUTIONS; LOCAL MINIMIZERS; MULTIPLICITY; EXISTENCE;
D O I：
10.1016/j.jmaa.2011.04.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlinear periodic problem, driven by the scalar p-Laplacian, with a parametric concave term and a Caratheodory perturbation whose potential (primitive) exhibits a p-superlinear growth near +infinity, without satisfying the usual in such cases Ambrosetti-Rabinowitz condition. Using critical point theory and truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions as the parameter varies. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：866 / 883
页数：18
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