A multiplicity theorem for double phase degenerate Kirchhoff problems

被引：8

作者：

Cen, Jinxia ^{[1
]}

Vetro, Calogero ^{[2
]}

Zeng, Shengda ^{[3
,4
,5
]}

机构：

[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China

[2] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

[3] Yulin Normal Univ, Ctr Appl Math Guangxi, Yulin 537000, Guangxi, Peoples R China

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

[5] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 146卷

基金：

中国博士后科学基金;

关键词：

Double phase problem; Multiplicity theorem; Degenerate kirchhoff equation;

D O I：

10.1016/j.aml.2023.108803

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear elliptic equation involving a nonlocal term which vanishes at finitely many points, a nonhomogeneous partial differential operator (called double phase differential operator) which satisfies unbalanced growth, and a nonlinear function. Such nonlinear elliptic equation is called double phase degenerate Kirchhoff problem (DPDKP, for short). The major contribution of this paper is to establish a multiplicity theorem for (DPDKP) in which our main method is based on truncation technique and variational method. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：6

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