Properties of solutions to some weighted pp-Laplacian equation

preprint2018arXivOpen access

Abstract

In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by −div⁡(w∣∇u∣p−2∇u)=f(x,u);    w∈Ap-\operatorname{div}(w|\nabla u|^{p-2}\nabla u)=f(x,u);\;\;w\in \mathcal{A}_p on smooth domain and for varying nonlinearity ff.

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