Positive solutions for a quasilinear degenerate elliptic equation inR n

1986 ◽  
Vol 35 (3) ◽  
pp. 364-375 ◽  
Author(s):  
Giovanna Citti
Keyword(s):  
Elliptic Equation ◽  
Positive Solutions ◽  
Degenerate Elliptic Equation ◽  
Degenerate Elliptic ◽  
Quasilinear Degenerate Elliptic Equation

scholarly journals Properties of solutions to some weighted p-Laplacian equation

2020 ◽  
Vol 40 (4) ◽  
pp. 483-494
Author(s):  
Prashanta Garain
Keyword(s):  
Elliptic Equation ◽  
Positive Solutions ◽  
Degenerate Elliptic Equation ◽  
Smooth Domain ◽  
Qualitative Properties ◽  
Laplacian Equation ◽  
Degenerate Elliptic

In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by \[-\text{div}\big(w|\nabla u|^{p-2}\nabla u\big)=f(x,u),\quad w\in \mathcal{A}_p,\] on smooth domain and for varying nonlinearity \(f\).

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