Multiple solutions of a quasilinear elliptic problem involving nonlinear boundary condition on exterior domain

2012 ◽  
Vol 35 (7) ◽  
pp. 782-794
Author(s):  
Caisheng Chen ◽  
Qi Zhang
Keyword(s):  
Boundary Condition ◽  
Elliptic Problem ◽  
Multiple Solutions ◽  
Exterior Domain ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Quasilinear Elliptic Problem ◽  
Quasilinear Elliptic

An existence result for multiple solutions to a Dirichlet problem

2017 ◽  
Vol 24 (1) ◽  
pp. 55-62
Author(s):  
Saeid Shokooh ◽  
Ghasem A. Afrouzi ◽  
John R. Graef
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Problem ◽  
Multiple Solutions ◽  
Existence Result ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Three Solutions ◽  
Quasilinear Elliptic Problem ◽  
Critical Point Result ◽  
Quasilinear Elliptic

AbstractThe authors establish the existence of at least three solutions to a quasilinear elliptic problem subject to Dirichlet boundary conditions in a bounded domain in ${\mathbb{R}^{N}}$. A critical point result for differentiable functionals is used to prove the results.

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