Positive solutions for parametric (p(z), q(z))-equations

被引：4

作者：

Gasinski, Leszek ^{[1
]}

Krech, Ireneusz ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

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

来源：

OPEN MATHEMATICS | 2020年 / 18卷

关键词：

anisotropic regularity; anisotropic maximum principle; positive solutions; minimal positive solution; superlinear reaction; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; EIGENVALUE PROBLEM; INEQUALITY; INDEFINITE; EXISTENCE; DRIVEN; (P;

D O I：

10.1515/math-2020-0074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a parametric elliptic equation driven by the anisotropic (p, q)-Laplacian. The reaction is superlinear. We prove a "bifurcation-type" theorem describing the change in the set of positive solutions as the parameter lambda moves in R+ = (0, +infinity).

引用

页码：1076 / 1096

页数：21

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