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ON A NEUMANN PROBLEM AT RESONANCE FOR NONUNIFORMLY SEMILINEAR ELLIPTIC SYSTEMS IN AN UNBOUNDED DOMAIN WITH NONLINEAR BOUNDARY CONDITION

  • Hoang, Quoc Toan (Department of Mathematics Hanoi University of Science) ;
  • Bui, Quoc Hung (Faculty of Information Technology Le Quy Don Technical University)
  • Received : 2013.09.25
  • Published : 2014.11.30

Abstract

We consider a nonuniformly nonlinear elliptic systems with resonance part and nonlinear Neumann boundary condition on an unbounded domain. Our arguments are based on the minimum principle and rely on a generalization of the Landesman-Lazer type condition.

Acknowledgement

Supported by : NAFOSTED

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  1. On existence of weak solutions for a p-Laplacian system at resonance vol.110, pp.1, 2016, https://doi.org/10.1007/s13398-015-0217-7