On a fractional sublinear elliptic equation with a variable coefficient

2013/04/17 by Fabio Punzo, Punzo, Fabio, Gabriele Terrone +1 · 1 citation
Mathematics · #35A01 #35A02 #35J61 #35K65 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35A01 #msc:35A02 #msc:35J61 #msc:35K65 #msc:35R11

paper · pdf · doi:10.48550/arxiv.1304.4843

arxiv created 2013/11/14 · arxiv updated 2013/11/15

Abstract

We study existence and uniqueness of bounded solutions to a fractional sublinear elliptic equation with a variable coefficient, in the whole space. Existence is investigated in connection to a certain fractional linear equation, whereas the proof of uniqueness relies on uniqueness of solutions to an associated fractional porous medium equation with variable density.

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