Properties of solutions to some weighted p-Laplacian equation

Prashanta Garain, Patrizia Pucci

Research output: Contribution to journalArticleScientificpeer-review

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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), u ∈ Ap, on smooth domain and for varying nonlinearity f.

Original languageEnglish
Pages (from-to)483-494
Number of pages12
JournalOpuscula Mathematica
Volume40
Issue number4
DOIs
Publication statusPublished - 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • Degenerate elliptic equations
  • p-Laplacian
  • Weighted Sobolev space

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