@Article{Garain2020, author = "Garain, Prashanta", title = "Properties of solutions to some weighted p-Laplacian equation", journal = "Opuscula Math.", year = "2020", volume = "40", number = "4", pages = "483--494", doi = "https://doi.org/10.7494/OpMath.2020.40.4.483", url = "https://doi.org/10.7494/OpMath.2020.40.4.483", abstract = "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 \(f\).", keywords = "\(p\)-Laplacian, degenerate elliptic equations, weighted Sobolev space", issn = "1232-9274" }