Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition

被引：24

作者：

Chaharlang, Moloud Makvand ^{[1
]}

Razani, Abdolrahman ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 3414916818, Iran

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 03期

关键词：

Nonlocal problems; Kirchhoff-type problems; variational methods; Orlicz-Sobolev spaces; mountain pass theorem; EXISTENCE; MULTIPLICITY; DETONATION;

D O I：

10.1515/gmj-2019-2077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we prove the existence of at least two weak solutions for a Kirchhoff-type problem by using the minimum principle, the mountain pass theorem and variational methods in Orlicz-Sobolev spaces.

引用

页码：429 / 438

页数：10

共 31 条

[1]

[Anonymous], 1975, PURE APPL MATH

[2]

[Anonymous], 1991, MONOGR TXB PURE APPL

[3] Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica ;

Radulescu, Vicentiu .

COMPTES RENDUS MATHEMATIQUE, 2011, 349 (5-6) :263-268

[4] Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces [J].

Bonanno, Gabriele ;

Bisci, Giovanni Molica ;

Radulescu, Vicentiu .

MONATSHEFTE FUR MATHEMATIK, 2012, 165 (3-4) :305-318

[5] Infinitely Many Solutions for a Fourth Order Singular Elliptic Problem [J].

Chaharlang, M. Makvand ;

Razani, A. .

FILOMAT, 2018, 32 (14) :5003-5010

[6] A Fourth Order Singular Elliptic Problem Involving p-biharmonic Operator [J].

Chaharlang, Moloud Makvand ;

Razani, Abdolrahman .

TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (03) :589-599

[7]

Chaharlang MM, 2019, COMMUN KOREAN MATH S, V34, P155

[8] The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions [J].

Chen, Ching-yu ;

Kuo, Yueh-cheng ;

Wu, Tsung-fang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (04) :1876-1908

[9] Some remarks on non local elliptic and parabolic problems [J].

Chipot, M ;

Lovat, B .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) :4619-4627

[10] Mountain pass type solutions for quasilinear elliptic equations [J].

Clément, P ;

García-Huidobro, M ;

Manásevich, R ;

Schmitt, K .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2000, 11 (01) :33-62

← 1 2 3 4 →