We study the existence and uniqueness of bounded weak 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 weak solutions to an associated fractional porous medium equation with variable density.
On a fractional sublinear elliptic equation with a variable coefficient / F. Punzo, G. Terrone. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - 94:4(2015), pp. 800-818.
On a fractional sublinear elliptic equation with a variable coefficient
F. PunzoPrimo
;
2015
Abstract
We study the existence and uniqueness of bounded weak 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 weak solutions to an associated fractional porous medium equation with variable density.File in questo prodotto:
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