Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces

Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces

Abstract In this paper, we investigate the following nonlinear and non-homogeneous elliptic system: { − div ( a 1 ( | ∇ u | ) ∇ u ) + V 1 ( x ) a 1 ( | u | ) u = F u ( x , u , v ) in  R N , − div ( a 2 ( | ∇ v | ) ∇ v ) + V 2 ( x ) a 2 ( | v | ) v = F v ( x , u , v ) in  R N , ( u , v ) ∈ W 1 , Φ 1...

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Bibliographic Details
Main Authors: Liben Wang, Xingyong Zhang, Hui Fang
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Boundary Value Problems
Subjects:
Orlicz-Sobolev spaces
quasilinear
critical point
ground state
Online Access:http://link.springer.com/article/10.1186/s13661-017-0832-7

Internet

http://link.springer.com/article/10.1186/s13661-017-0832-7

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