On a fractional sublinear elliptic equation with a variable coefficient

Fabio Punzo; Gabriele Terrone

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arXiv · 1304.4843

On a fractional sublinear elliptic equation with a variable coefficient

Fabio Punzo·Gabriele Terrone

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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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Fabio Punzo, Gabriele Terrone. 2013-04-17. On a fractional sublinear elliptic equation with a variable coefficient. https://arxiv.org/abs/1304.4843

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