Hung, B., Toan, H. (2017). On a p-Laplacian system and a generalization of the Landesman-Lazer type condition. Bulletin of the Iranian Mathematical Society, 43(5), 1511-1528.

B.Q. Hung; H.Q. Toan. "On a p-Laplacian system and a generalization of the Landesman-Lazer type condition". Bulletin of the Iranian Mathematical Society, 43, 5, 2017, 1511-1528.

Hung, B., Toan, H. (2017). 'On a p-Laplacian system and a generalization of the Landesman-Lazer type condition', Bulletin of the Iranian Mathematical Society, 43(5), pp. 1511-1528.

Hung, B., Toan, H. On a p-Laplacian system and a generalization of the Landesman-Lazer type condition. Bulletin of the Iranian Mathematical Society, 2017; 43(5): 1511-1528.

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

^{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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