Properties of solutions to some weighted $p$-Laplacian equation

Published 6 Mar 2018 in math.AP | (1803.02014v1)

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

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