# On a p-Laplacian system and a generalization of the Landesman-Lazer type condition

Document Type : Research Paper

Authors

1 Faculty of Information Technology, Le Quy Don Technical University, 236 Hoang Quoc Viet, Bac Tu Liem, Hanoi, Vietnam.

2 Department of Mathematics, Hanoi University of Science 334 Nguyen Trai, Thanh Xuan, Ha Noi, Vietnam.

Abstract

This 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.

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Main Subjects

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### History

• Receive Date: 28 February 2016
• Revise Date: 13 July 2016
• Accept Date: 14 July 2016
• First Publish Date: 31 October 2017