Existence of solutions for a p-Laplacian Kirchhoff type problem with nonlinear term of superlinear and subcritical growth

被引：0

作者：

Imane, Melzi ^{[1
]}

Toufik, Moussaoui ^{[2
]}

机构：

[1] Ecole Normale Super, Dept Math, Lab Nonlinear Partial Differential Equat & Hist M, Algiers, Algeria

[2] Ecole Normale Super, Dept Math, Lab Fixed Point Theory & Applicat, Algiers, Algeria

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2020年 / 65卷 / 04期

关键词：

Kirchhoff problem; nonlocal quasilinear problem; variational methods; nonnegative and nonpositive solutions;

D O I：

10.24193/subbmath.2020.4.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned by the study of the existence of nonnegative and nonpositive solutions for a nonlocal quasilinear Kirchhoff problem by using the Mountain Pass lemma technique.

引用

页码：521 / 542

页数：22

共 8 条

[1] [Anonymous], 2000, Variational Methods
[2] Bensedik A., 2012, THESIS
[3] Brezis H., 1983, Analyse Fonctionnelle Theorie et Applications
[4] Ke X.F., 2018, ELECT J DIFFERENTIAL, V88, P1
[5] Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition
Mao, Anmin
Zhang, Zhitao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1275 - 1287
[6] ON THE 1ST EIGENVALUE OF SOME QUASILINEAR ELLIPTIC-EQUATIONS
OTANI, M
TESHIMA, T
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1988, 64 (01) : 8 - 10
[7] Lack of coercivity in a concave-convex type equation
Quoirin, Humberto Ramos
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 37 (3-4) : 523 - 546
[8] Willem M, 1996, MINIMAX THEOREMS

← 1 →