arXiv:1803.02014 Abstract | arXiv Analytics

arXiv:1803.02014 [math.AP]Abstract References Reviews Resources

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

Published 2018-03-06Version 1

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 $f$.

Categories: math.AP

Subjects: 35J70, 35J62, 35A01

Keywords: laplacian equation, degenerate elliptic equation, smooth domain, positive solutions

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