Infinitely many positive solutions for a double phase problem

被引：3

作者：

Zhang, Bei-Lei ^{[1
]}

Ge, Bin ^{[1
]}

Hou, Gang-Ling ^{[2
]}

机构：

[1] Harbin Engn Univ, Sch Math Sci, Harbin 150001, Peoples R China

[2] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Double phase operator; Multiple solutions; Variational methods; FUNCTIONALS; REGULARITY; EXISTENCE;

D O I：

10.1186/s13661-020-01439-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of infinitely many positive solutions to a class of double phase problem. By variational methods and the theory of the Musielak-Orlicz-Sobolev space, we establish the existence of infinitely many positive solutions whose W-0(1,H) (Omega)-norms and L-infinity-norms tend to zero under suitable hypotheses about nonlinearity.

引用

页数：10

共 50 条

[31] INFINITELY MANY SOLUTIONS FOR A FOURTH-ORDER BOUNDARY-VALUE PROBLEM
Khalkhali, Seyyed Mohsen
Heidarkhani, Shapour
Razani, Abdolrahman
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[32] Infinitely many solutions for a fractional Kirchhoff type problem via Fountain Theorem
Xiang, Mingqi
Zhang, Binlin
Guo, Xiuying
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 120 : 299 - 313
[33] INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRODINGER EQUATIONS
Zhang, Wei
Li, Gui-Dong
Tang, Chun-Lei
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05): : 1475 - 1493
[34] Infinitely many solutions of some nonlinear variational equations
Candela, Anna Maria
Palmieri, Giuliana
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2009, 34 (04) : 495 - 530
[35] Infinitely many positive solutions for Kirchhoff equations with competing coefficients
Hu, Tingxi
Lu, Lu
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (02):
[36] INFINITELY MANY RADIAL SOLUTIONS FOR A p-LAPLACIAN PROBLEM WITH INDEFINITE WEIGHT
Castro, Alfonso
Cossio, Jorge
Herron, Sigifredo
Velez, Carlos
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (10) : 4805 - 4821
[37] Infinitely many positive solutions for Kirchhoff-type problems
He, Xiaoming
Zou, Wenming
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1407 - 1414
[38] Infinitely many positive solutions for the nonlinear Schrodinger equations in RN
Wei, Juncheng
Yan, Shusen
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 37 (3-4) : 423 - 439
[39] Infinitely many non-radial positive solutions to the double-power nonlinear Schrodinger equations
Guo, Qing
APPLICABLE ANALYSIS, 2022, 101 (15) : 5262 - 5272
[40] INFINITELY MANY SIGN-CHANGING SOLUTIONS FOR THE BREZIS-NIRENBERG PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN
Li, Lin
Sun, Jijiang
Tersian, Stepan
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (05) : 1146 - 1164

← 1 2 3 4 5 →