Articles

LANDESMAN-LAZER TYPE (p, q)-EQUATIONS WITH NEUMANN CONDITION

  • Nikolaos S. PAPAGEORGIOU ,
  • Calogero VETRO ,
  • Francesca VETRO
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  • 1. Department of Mathematics, National Technical University, Zografou campus, Athens 15780, Greece;
    2. Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy;
    3. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam;
    4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Received date: 2019-05-13

  Revised date: 2019-10-17

  Online published: 2020-08-21

Abstract

We consider a Neumann problem driven by the (p,q)-Laplacian under the Landesman-Lazer type condition. Using the classical saddle point theorem and other classical results of the calculus of variations, we show that the problem has at least one nontrivial weak solution.

Cite this article

Nikolaos S. PAPAGEORGIOU , Calogero VETRO , Francesca VETRO . LANDESMAN-LAZER TYPE (p, q)-EQUATIONS WITH NEUMANN CONDITION[J]. Acta mathematica scientia, Series B, 2020 , 40(4) : 991 -1000 . DOI: 10.1007/s10473-020-0408-y

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