27 citations · 173 across the 52 of their papers we have counts for
3 papers · 1 filter
On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators
J. Rossi, R. Carretero-Gonzalez, P. G. Kevrekidis +1
We study the spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator observed experimentally by Xu and Coen in Opt.~Lett.~{\bf 39},…
Eigenvalues for systems of fractional Laplacians
Leandro M. Del Pezzo, Julio D. Rossi
We study the eigenvalue problem for a system of fractional Laplacians, that is, $$ \begin{cases} (-Δ_p)^r u = λ\dfracαp|u|^{α-2}u|v|^β &\text{in } Ω,\vspace{.1cm} (-Δ_p)^s u =…
Fractional eigenvalue problems that approximate Steklov eigenvalues
Leandro M. Del Pezzo, Julio D. Rossi, Ariel M. Salort
In this paper we analyze possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a nonlocal eigenvalue problem of fraction…