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

Prashanta Garain

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

Analysis of PDEs 2020-05-22 v1

Authors: Prashanta Garain

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 $f$ .

Keywords

weighted p-laplacian degenerate elliptic equation positive solutions qualitative properties a_p weights

Cite

@article{arxiv.1803.02014,
  title  = {Properties of solutions to some weighted $p$-Laplacian equation},
  author = {Prashanta Garain},
  journal= {arXiv preprint arXiv:1803.02014},
  year   = {2020}
}

Comments

Opuscula Mathematica, 2020

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