Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X43520171031On a p-Laplacian system and a generalization of the Landesman-Lazer type condition151115281036ENB.Q.HungFaculty of Information Technology, Le Quy Don Technical University, 236 Hoang Quoc Viet, Bac Tu Liem, Hanoi, Vietnam.H.Q.ToanDepartment of Mathematics, Hanoi University of Science 334 Nguyen Trai, Thanh Xuan, Ha Noi, Vietnam.Journal Article20160228This article shows the existence of weak solutions of a resonance problem for nonuniformly p-Laplacian system in a bounded domain in $\mathbb{R}^N$. Our arguments are based on the minimum principle and rely on a generalization of the Landesman-Lazer type condition.http://bims.iranjournals.ir/article_1036_a46a25c9bc4119887a0c69ea7fab5737.pdf