On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type
Massar, M., Talbi, M. (2015). On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type. EKB Journal Management System, 23(1), 37-41. doi: 10.1016/j.joems.2014.01.007
Mohammed Massar; Mohamed Talbi. "On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type". EKB Journal Management System, 23, 1, 2015, 37-41. doi: 10.1016/j.joems.2014.01.007
Massar, M., Talbi, M. (2015). 'On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type', EKB Journal Management System, 23(1), pp. 37-41. doi: 10.1016/j.joems.2014.01.007
Massar, M., Talbi, M. On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type. EKB Journal Management System, 2015; 23(1): 37-41. doi: 10.1016/j.joems.2014.01.007

On a class of nonlocal elliptic systems of ðp; qÞ-Kirchhoff type

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 37-41    PDF (446.64 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.01.007
Authors
Mohammed Massar* 1; Mohamed Talbi2
1University Mohamed I, Faculty of Sciences, Department of Mathematics, Oujda, Morocco
2CRMEF, Oujda, Morocco
Abstract
In this paper, we establish the existence of at least three solutions for the following nonlocal elliptic system of ðp; qÞ-Kirchhoff type  M1
R
X jruj
p
dx     p1
Dpu ¼ kFuðx; u; vÞ þ lGuðx; u; vÞ
in X;  M2
R
X jrvj
q
dx     q1
Dqv ¼ kFvðx; u; vÞ þ lGvðx; u; vÞ in X; u ¼ v ¼ 0 on @X. Our technical
approach is based on the three critical points theorem of Ricceri.
Keywords
Multiple solutions; Three critical points theorem; Kirchhoff type system
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