scholarly journals Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Jia Gao ◽  
Huang Lina ◽  
Zhang Xiaojuan
Keyword(s):  
Elliptic Equations ◽  
Existence Of Solutions ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations

2008 ◽  
Vol 15 (4) ◽  
pp. 627-634
Author(s):  
Albo Carlos Cavalheiro
Keyword(s):  
Dirichlet Problem ◽  
Sobolev Spaces ◽  
Elliptic Equations ◽  
Existence Result ◽  
Existence Of Solutions ◽  
Weighted Sobolev Spaces ◽  
Quasilinear Elliptic Equations ◽  
Open Set ◽  
Quasilinear Elliptic

Abstract We prove an existence result for the Dirichlet problem associated to some degenerate quasilinear elliptic equations in a bounded open set Ω in in the setting of weighted Sobolev spaces .

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