25 citations · 69 across the 37 of their papers we have counts for
5 papers · 2 filters
Global Sobolev regularity for nonvariational operators built with homogeneous Hörmander vector fields
Stefano Biagi, Marco Bramanti
We consider a class of nonvariational degenerate elliptic operators of the kind \[ Lu=\sum_{i,j=1}^{m}a_{ij}\left( x\right) X_{i}X_{j}u \] where $\left\{ a_{ij}\left( x\right) \rig…
Multiplicity of positive solutions for mixed local-nonlocal singular critical problems
Stefano Biagi, Eugenio Vecchi
We prove the existence of at least two positive weak solutions for mixed local-nonlocal singular and critical semilinear elliptic problems in the spirit of [Haitao, 2003], extendin…
Uniqueness for local-nonlocal elliptic equations
Stefano Biagi, Giulia Meglioli, Fabio Punzo
We study mixed local and nonlocal elliptic equation with a variable coefficient . Under suitable assumptions on the behaviour at infinity of , we obtain uniqueness of solutio…
KFP operators with coefficients measurable in time and Dini continuous in space
Stefano Biagi, Marco Bramanti, Bianca Stroffolini
We consider degenerate KFP operators \[ Lu=\sum_{i,j=1}^{m_{0}}a_{ij}(x,t)\partial_{x_{i}x_{j}}^{2}u+\sum_{k,j=1}^{N}b_{jk}x_{k}\partial_{x_{j}}u-\partial_{t}u\equiv\sum_{i,j=1}^{m…
A Liouville theorem for elliptic equations with a potential on infinite graphs
Stefano Biagi, Giulia Meglioli, Fabio Punzo
We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable assumptions on the graph and on t…