Positive solutions for a class of nonlinear parametric Robin problems

被引：2
|
作者：
Gasinski, Leszek [1 ]
Papageorgiou, Nikolaos S. [2 ]
Zhang, Youpei [3 ,4 ]
机构：
[1] Pedag Univ Cracow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland
[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece
[3] Cent South Univ Changsha, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[4] Univ Craiova, Dept Math, Craiova 200585, Romania
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 01期
关键词：
Concave-convex nonlinearities; Positive solutions; Truncation; Nonlinear regularity; Nonlinear maximum principle; Minimal positive solution; EIGENVALUE PROBLEM; LOCAL MINIMIZERS; INDEFINITE; CONCAVE; MULTIPLICITY; (P;
D O I：
10.1007/s12215-023-00918-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a nonlinear Robin problem driven by the p-Laplacian and a parametric concave-convex reaction with the parameter multiplying the convex (superlinear) term. We prove a multiplicity result for positive solutions which is global in the parameter ? > 0 (bifurcation-type theorem). We also show the existence of a minimal positive solution u(?)(*) and determine the monotonicity and continuity properties of the map ? ? u(?)(*)
引用
收藏
页码：429 / 454
页数：26
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