scholarly journals Existence and Non-existence Results for a Quasilinear Problem with Nonlinear Boundary Condition

2000 ◽  
Vol 244 (1) ◽  
pp. 169-183 ◽  
Author(s):  
Florica-Corina Şt. Cîrstea ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Boundary Condition ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Existence Results ◽  
Quasilinear Problem

scholarly journals Existence Results for the p(x)-Laplacian with Nonlinear Boundary Condition

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Zhiqiang Wei ◽  
Zigao Chen
Keyword(s):  
Boundary Condition ◽  
Variational Method ◽  
Bounded Domain ◽  
Sobolev Spaces ◽  
Variable Exponent ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Existence Results ◽  
Global Minimizer ◽  
Fountain Theorem

By using the variational method, under appropriate assumptions on the perturbation terms such that the associated functional satisfies the global minimizer condition and the fountain theorem, respectively, the existence and multiple results for the -Laplacian with nonlinear boundary condition in bounded domain Ω were studied. The discussion is based on variable exponent Lebesgue and Sobolev spaces.

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