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

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Liben Wang ◽  
Xingyong Zhang ◽  
Hui Fang
Keyword(s):  
Sobolev Spaces ◽  
Ground State ◽  
Elliptic Systems ◽  
Ground State Solutions ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

On strongly quasilinear elliptic systems with weak monotonicity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Elhoussine Azroul ◽  
Farah Balaadich
Keyword(s):  
Elliptic System ◽  
Sobolev Spaces ◽  
Elliptic Systems ◽  
Existence Results ◽  
Young Measures ◽  
Quasilinear Elliptic System ◽  
Quasilinear Elliptic Systems ◽  
Weak Monotonicity ◽  
Quasilinear Elliptic

Abstract In this paper, we prove existence results in the setting of Sobolev spaces for a strongly quasilinear elliptic system by means of Young measures and mild monotonicity assumptions.

scholarly journals Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
S. Heidari ◽  
A. Razani
Keyword(s):  
Variational Methods ◽  
Sobolev Spaces ◽  
Multiple Solutions ◽  
Elliptic Systems ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

AbstractIn this paper, we study some results on the existence and multiplicity of solutions for a class of nonlocal quasilinear elliptic systems. In fact, we prove the existence of precise intervals of positive parameters such that the problem admits multiple solutions. Our approach is based on variational methods.

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