On double phase Kirchhoff problems with singular nonlinearity

被引：38

作者：

Arora, Rakesh ^{[2
]}

Fiscella, Alessio ^{[3
]}

Mukherjee, Tuhina ^{[4
]}

Winkert, Patrick ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[2] Indian Inst Technol Varanasi IIT BHU, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India

[3] Univ Milano Bicocca, Dipartimento Matemat & Applicazioni, Via Cozzi 55, I-20125 Milan, Italy

[4] Indian Inst Technol Jodhpur, Dept Math, Jodhpur 342037, Rajasthan, India

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

double phase operator; fibering method; Kirchhoff term; multiple solutions; Nehari manifold; singular problems; EXISTENCE; REGULARITY; MINIMIZERS; EQUATIONS; CALCULUS; GROWTH;

D O I：

10.1515/anona-2022-0312

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth. Under very general assumptions on the data, we prove the existence of at least two weak solutions that have different energy sign. Our treatment is based on the fibering method in form of the Nehari manifold. We point out that we cover both the nondegenerate as well as the degenerate Kirchhoff case in our setting.

引用

页数：24

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