On a fractional sublinear elliptic equation with a variable coefficient
Analysis of PDEs
2013-11-15 v2
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.
Cite
@article{arxiv.1304.4843,
title = {On a fractional sublinear elliptic equation with a variable coefficient},
author = {Fabio Punzo and Gabriele Terrone},
journal= {arXiv preprint arXiv:1304.4843},
year = {2013}
}