Positive Solutions for Resonant (p,q)-equations with convection

被引：24

作者：

Liu, Zhenhai ^{[1
,2
]}

Papageorgiou, Nikolaos S. ^{[3
]}

机构：

[1] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China

[2] Guangxi Univ Nationalities, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi, Peoples R China

[3] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2021年 / 10卷 / 01期

关键词：

Singular term; resonance; nonlinear regularity; Leray-Schauder alternative principle; minimal solution; iterative asymptotic process; DOUBLE-PHASE PROBLEMS; NEUMANN PROBLEMS;

D O I：

10.1515/anona-2020-0108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear parametric Dirichlet problem driven by the (p,q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. Aparametric one consisting of the sum of a singular term and of a drift term (convection) and of a nonparametric perturbation which is resonant. Using the frozen variable method and eventually a fixed point argument based on an iterative asymptotic process, we show that the problem has a positive smooth solution.

引用

页码：217 / 232

页数：16

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