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

doi:10.1007/s10473-020-0408-y

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 991-1000.doi: 10.1007/s10473-020-0408-y

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

Nikolaos S. PAPAGEORGIOU¹, Calogero VETRO², Francesca VETRO^3,4

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

收稿日期:2019-05-13 修回日期:2019-10-17 出版日期:2020-08-25 发布日期:2020-08-21
通讯作者: Francesca VETRO E-mail:francescavetro@tdtu.edu.vn
作者简介:Nikolaos S.PAPAGEORGIOU,E-mail:npapg@math.ntua.gr;Calogero VETRO,E-mail:calogero.vetro@unipa.it

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

Nikolaos S. PAPAGEORGIOU¹, Calogero VETRO², Francesca VETRO^3,4

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:2019-05-13 Revised:2019-10-17 Online:2020-08-25 Published:2020-08-21
Contact: Francesca VETRO E-mail:francescavetro@tdtu.edu.vn

摘要/Abstract

摘要： 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.

关键词: Neumann problem, (p,q)-Laplacian, critical point, saddle point theorem, Landesman-Lazer type condition

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.

Key words: Neumann problem, (p,q)-Laplacian, critical point, saddle point theorem, Landesman-Lazer type condition

中图分类号:

34B15

Nikolaos S. PAPAGEORGIOU, Calogero VETRO, Francesca VETRO. LANDESMAN-LAZER TYPE (p, q)-EQUATIONS WITH NEUMANN CONDITION[J]. 数学物理学报(英文版), 2020, 40(4): 991-1000.

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.

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

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

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