Global multiplicity of positive solutions for anisotropic (p, q)-Robin boundary value problems with an indefinite potential term

被引：0
作者：
Ozterk, Eylem [1 ]
Papageorgiou, Nikolaos S. [2 ,3 ]
机构：
[1] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkiye
[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece
[3] Univ Craiova, Dept Math, Craiova 200585, Romania
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2024年 / 58期
关键词：
nonlinear nonhomogeneous differential operator; indefinite potential; pos- itive solutions; truncations and comparisons; nonlinear regularity; q )-Laplacian; Robin boundary; ELLIPTIC-EQUATIONS; EIGENVALUE PROBLEM; VARIABLE EXPONENT; LOCAL MINIMIZERS; P(X)-GROWTH; CONCAVE;
D O I：
10.14232/ejqtde.2024.1.58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlinear Robin problem driven by the anisotropic ( p , q )- Laplacian plus an indefinite potential term. In the reaction, we have the competing effects of a parametric concave (sublinear) term perturbed by a superlinear one (concave- convex problem). We prove the existence and multiplicity result for positive solutions which is global with respect to the parameter. We also show the existence of a minimal positive solution and determine its dependence on the parameter.
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页数：25
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