arXiv subjects

Gabriele Terrone

Publications and source records attributed to Gabriele Terrone.

3 recordsLinked to original sources

arXiv2013

On a fractional sublinear elliptic equation with a variable coefficient

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.

math.AP↗

arXiv2013

On the Cauchy problem for a general fractional porous medium equation with variable density

We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density. We establish existence of weak energy solutions; uniqueness and nonuniqueness is studied as well, according with the behavior of the density at infinity.

math.AP↗

arXiv2012

Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension

We study existence and uniqueness of bounded solutions to a fractional nonlinear porous medium equation with a variable density, in one space dimension.

math.AP↗