SINGULAR EQUATIONS WITH VARIABLE EXPONENTS AND CONCAVE-CONVEX NONLINEARITIES

被引：3

作者：

Gasinski, Leszek ^{[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, GR-15780 Athens, Greece

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2023年 / 16卷 / 06期

关键词：

Concave-convex terms; truncation; positive solutions; regular theory; maximum principle; HOLDER LOCAL MINIMIZERS; MULTIPLICITY; EIGENVALUES; SOBOLEV;

D O I：

10.3934/dcdss.2022135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear anisotropic Dirichlet problem with a reaction that has the combined effects of three distinct nonlinearities: a parametric singular term, a parametric "concave" term (the parameter lambda > 0 is the same in both) and a nonparametric "convex" perturbation. So, the problem is a singular version of the well known "concave-convex" problem. We prove an existence and multiplicity result which is global in the parameter lambda > 0 (a bifurcation-type theorem). We also indicate some small improvements in the case of (p(z), q(z)) and p(z )-equations.

引用

页码：1414 / 1434

页数：21

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