Multiplicity Results for Nonlocal Elliptic Transmission Problem with Variable Exponent

被引：1

作者：

Ayoujil, A. ^{[1
]}

Moussaoui, M. ^{[2
]}

机构：

[1] Reg Ctr Trades Educ & Training, Oujda, Morocco

[2] Univ Mohamed I, Fac Sci, Dept Math, Oujda, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2015年 / 33卷 / 02期

关键词：

Variational method; multiple solutions; nonlocal elliptic transmission problem; Mountain Pass Theorem; Ekeland's principle;

D O I：

10.5269/ibspm.v33i2.23875

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a transmission problem given by a system of two nonlinear equations of p(x)-Kirchhoff type with nonstandard growth conditions are studied. Using the mountain pass theorem combined with the Ekeland's variational principle, we obtain at least two distinct, non-trivial weak solutions.

引用

页码：185 / 199

页数：15

共 23 条

[1]

Alves C. O., 2001, COMMUN APPL NONLINEA, V8, P43

[2]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[3]

[Anonymous], 1996, APPL ANAL, DOI DOI 10.1080/00036819608840491

[4]

Antontsev S. N., 2006, ANN U FERRARA SEZ 7, V52, P19, DOI [DOI 10.1007/S11565-006-0002-9, 10.1007/s11565-006-0002-9]