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arXiv · 1803.02014

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

Prashanta Garain
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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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Prashanta Garain. 2018-03-06. Properties of solutions to some weighted $p$-Laplacian equation. https://arxiv.org/abs/1803.02014

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