Multiple solutions for degenerate nonlocal problems

被引：13

作者：

Caristi, Giuseppe ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

Salari, Amjad ^{[3
]}

Tersian, Stepan A. ^{[4
]}

机构：

[1] Univ Messina, Dept Econ, Via Verdi 75, Messina, Italy

[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

[3] Islamic Azad Univ, Kermanshah Branch, Young Researchers & Elite Club, Kermanshah, Iran

[4] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str 8, BU-1113 Sofia, Bulgaria

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 84卷

关键词：

p-Laplacian operator; Nonlocal problem; Singularity; Multiple solutions; Critical point theory; KIRCHHOFF-TYPE PROBLEMS; POSITIVE SOLUTIONS; WEAK SOLUTIONS; INEQUALITIES;

D O I：

10.1016/j.aml.2018.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of solutions for a class of degenerate nonlocal problems involving sub-linear nonlinearities, while the nonlinear part of the problem admits some hypotheses on the behavior at the origin or perturbation property. We obtain some new criteria for existence of two and infinitely many solutions of the problem using critical point theory. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：26 / 33

页数：8

共 50 条

[1] Multiple positive solutions of degenerate nonlocal problems on unbounded domain
Fan, Haining
Liu, Xiaochun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (07) : 1282 - 1291
[2] MULTIPLE SOLUTIONS FOR A CLASS OF DEGENERATE NONLOCAL PROBLEMS INVOLVING SUBLINEAR NONLINEARITIES
Nguyen Thanh Chung
Hoang Quoc Toan
MATEMATICHE, 2014, 69 (02): : 171 - 182
[3] Multiple solutions for some Dirichlet problems with nonlocal terms
Cammaroto, Filippo
Faraci, Francesca
ANNALES POLONICI MATHEMATICI, 2012, 105 (01) : 31 - 42
[4] MULTIPLE SOLUTIONS FOR NONLOCAL FRACTIONAL KIRCHHOFF TYPE PROBLEMS
Ghobadi, Ahmad
Heidarkhani, Shapour
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2022, 14 (04): : 597 - 608
[5] Multiple Solutions of Semilinear Elliptic Problems with Degenerate Boundary Conditions
Taira, Kazuaki
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (02) : 731 - 752
[6] Multiple Solutions of Semilinear Elliptic Problems with Degenerate Boundary Conditions
Kazuaki Taira
Mediterranean Journal of Mathematics, 2013, 10 : 731 - 752
[7] Multiple solutions of semilinear degenerate elliptic boundary value problems
Taira, Kazuaki
MATHEMATISCHE NACHRICHTEN, 2011, 284 (01) : 105 - 123
[8] MULTIPLE SOLUTIONS FOR CRITICAL NONLOCAL ELLIPTIC PROBLEMS WITH MAGNETIC FIELD
Wen, R. U. I. J. I. A. N. G.
Yang, J. I. A. N. F. U.
Yu, X. I. A. O. H. U. I.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (02): : 530 - 546
[9] Multiple positive solutions for discrete nonlocal boundary value problems
Cheung, Wing-Sum
Ren, Jingli
Wong, Patricia J. Y.
Zhao, Dandan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) : 900 - 915
[10] Multiple solutions of semilinear degenerate elliptic boundary value problems II
Taira, Kazuaki
MATHEMATISCHE NACHRICHTEN, 2011, 284 (11-12) : 1554 - 1566

← 1 2 3 4 5 →