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

Authors

  • B.Q. Hung Faculty of Information Technology, Le Quy Don Technical University, 236 Hoang Quoc Viet, Bac Tu Liem, Hanoi, Vietnam.
  • H.Q. Toan 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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Journal title

volume 43  issue 5

pages  1511- 1528

publication date 2017-10-31

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