scholarly journals Multiple Solutions for a Class of Concave-Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition

2013 ◽  
Vol 04 (03) ◽  
pp. 449-455
Author(s):  
Li Wang
Keyword(s):  
Boundary Condition ◽  
Multiple Solutions ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Elliptic Systems ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

scholarly journals Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the ()-Laplacian Operator

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Armin Hadjian ◽  
Saleh Shakeri
Keyword(s):  
Multiple Solutions ◽  
Main Tool ◽  
Elliptic Systems ◽  
Existence Results ◽  
Laplacian Operator ◽  
Quasilinear Elliptic System ◽  
Critical Point Theorem ◽  
Quasilinear Elliptic Systems ◽  
Double Eigenvalue ◽  
Quasilinear Elliptic

Existence results of three weak solutions for a Dirichlet double eigenvalue quasilinear elliptic system involving the ()-Laplacian operator, under suitable assumptions, are established. Our main tool is based on a recent three-critical-point theorem obtained by Ricceri. We also give some examples to illustrate the obtained results.

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