25 citations · 69 across the 37 of their papers we have counts for
4 papers · 2 filters
A Brezis-Nirenberg type result for mixed local and nonlocal operators
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
We study a critical problem for an operator of mixed order obtained by the superposition of a Laplacian with a fractional Laplacian. In particular, we investigate the corresponding…
Schauder estimates for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and Hölder continuous in space
Stefano Biagi, Marco Bramanti
We consider degenerate Kolmogorov-Fokker-Planck operators $$ \mathcal{L}u=\sum_{i,j=1}^{q}a_{ij}(x,t)\partial_{x_{i}x_{j}}^{2}u+\sum_{k,j=1}^{N}b_{jk}x_{k}\partial_{x_{j}}u-\partia…
Symmetry of intrinsically singular solutions of double phase problems
Stefano Biagi, Francesco Esposito, Eugenio Vecchi
We continue the study of positive singular solutions of PDEs arising from double phase functionals started in [6]. In particular, we consider the case , and we relax the a…
Symmetry and monotonicity of singular solutions to -Laplacian systems involving a first order term
Stefano Biagi, Francesco Esposito, Luigi Montoro +1
We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by -Laplacian operators and with the additional presence of a nonlinea…