3 papers
math.AP2013
On a fractional sublinear elliptic equation with a variable coefficient
Fabio Punzo, Gabriele Terrone
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 con…
math.AP2013
On the Cauchy problem for a general fractional porous medium equation with variable density
Fabio Punzo, Gabriele Terrone
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 no…
math.AP2012
Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension
Fabio Punzo, Gabriele Terrone
We study existence and uniqueness of bounded solutions to a fractional nonlinear porous medium equation with a variable density, in one space dimension.