On Some Quasilinear Elliptic Systems with Singular and Sign-Changing Potentials

被引：2

作者：

Afrouzi, G. A. ^{[1
]}

Nguyen Thanh Chung ^{[2
]}

Naghizadeh, Z. ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Quang Binh Univ, Dept Math & Informat, Dong Hoi, Quang Binh, Vietnam

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2014年 / 11卷 / 03期

关键词：

Quasilinear elliptic systems; Multiplicity; Nonexistence; Variational methods; Q-LAPLACIAN PROBLEM; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY; PERTURBATIONS; HARDY;

D O I：

10.1007/s00009-013-0363-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using variational methods, we study the existence and nonexistence of nontrivial weak solutions for the quasilinear elliptic system where , is a bounded domain containing the origin with smooth boundary , are nonhomogeneous potentials; stands for the gradient of a sign-changing C (1)-function in the variable ; and lambda and mu are parameters.

引用

页码：891 / 903

页数：13

共 23 条

[1]

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

[2] Some remarks on a system of quasilinear elliptic equations [J].