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
收藏
页码：107 / 121
页数：15
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