EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR p-KIRCHHOFF-TYPE NEUMANN PROBLEMS

被引：0

作者：

Jiang, Qin ^{[1
]}

Ma, Sheng ^{[1
]}

Pasca, Daniel ^{[2
]}

机构：

[1] Huanggang Normal Univ, Dept Math, Huanggang 438000, Hubei, Peoples R China

[2] Univ Oradea, Dept Math & Informat, Univ St 1, Oradea 410087, Romania

来源：

REVISTA DE LA UNION MATEMATICA ARGENTINA | 2024年 / 67卷 / 01期

关键词：

Kirchhoff-type Neumann problem; critical point; variational methods; Landesman-Lazer type condition; local coercive condition; BOUNDARY-VALUE-PROBLEMS; ELLIPTIC-EQUATIONS; INDEFINITE; SOLVABILITY;

D O I：

10.33044/revuma.2646

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish, based on variational methods, existence theorems for a p -Kirchhoff -type Neumann problem under the Landesman-Lazer type condition and under the local coercive condition. In addition, multiple solutions for a p -Kirchhoff -type Neumann problem are established using a known three -critical -point theorem proposed by H. Brezis and L. Nirenberg.

引用

页码：107 / 121

页数：15

共 50 条

[31] Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents
Salah, M. Ben Mohamed
Ghanmi, A.
Kefi, K.
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2022, 18 (02) : 253 - 268
[32] New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems
Cheng, Bitao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) : 488 - 495
[33] Existence and multiplicity of solutions for Schrodinger-Kirchhoff type problems involving the fractional p(.)-Laplacian in RN
Kim, In Hyoun
Kim, Yun-Ho
Park, Kisoeb
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01):
[34] The Existence and Multiplicity of Solutions for p(x)-Laplacian-Like Neumann Problems
Chu, Changmu
Tang, Ying
JOURNAL OF FUNCTION SPACES, 2023, 2023
[35] On a nonlocal elliptic system of p-Kirchhoff-type under Neumann boundary condition
Correa, Francisco Julio S. A.
Nascimento, Rubia G.
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) : 598 - 604
[36] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR RESONANT NONLINEAR NEUMANN PROBLEMS
Aizicovici, Sergiu
Papageorgiou, Nikolaos S.
Staicu, Vasile
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2010, 35 (02) : 235 - 252
[37] Existence and multiplicity of positive solutions for p-Kirchhoff type problem with singularity
Dechen Wang
Baoqiang Yan
Boundary Value Problems, 2017
[38] Existence and Multiplicity of Solutions for p(x)-Kirchhoff-Type Problem in RN
Wei, Mei-Chun
Tang, Chun-Lei
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 767 - 781
[39] EXISTENCE AND MULTIPLICITY SOLUTIONS FOR (p(x), q(x))-KIRCHHOFF TYPE SYSTEMS
Hssini, El Miloud
Tsouli, Najib
Haddaoui, Mustapha
MATEMATICHE, 2016, 71 (01): : 75 - 88
[40] Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type
Zhi-tao Zhang
Yi-min Sun
Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 35 - 54

← 1 2 3 4 5 →