1 citations · 1 across the 5 of their papers we have counts for
6 papers
Unique continuation, nonexistence and bubbling for the critical -Laplace equation in the plane
Carlo Mercuri
For we prove weak and strong unique continuation properties for the solutions to in a planar domain, with continuous and such that …
New solutions to Schrödinger-Poisson-Slater equations in Coulomb-Sobolev spaces
Artur Jorge Marinho, Carlo Mercuri, Kanishka Perera
We prove existence and multiplicity results for the nonlinear and nonlocal PDE where $…
Fractional Schrödinger-Poisson-Slater equations in Coulomb-Sobolev spaces
Elisandra Gloss, Carlo Mercuri, Kanishka Perera +1
We prove existence and multiplicity results for the fractional Schroedinger--Poisson--Slater equation in , where and $α\in…
Variational methods for scaled functionals with applications to the Schrödinger-Poisson-Slater equation
Carlo Mercuri, Kanishka Perera
We develop novel variational methods for solving scaled equations that do not have the mountain pass geometry, classical linking geometry based on linear subspaces, or $\mathbb Z_2…
Positive solutions to nonlinear elliptic problems involving Sobolev exponent
Carlo Mercuri, Riccardo Molle
In this paper we consider nonlinear elliptic PDEs of the type $$-Δ_p u+a(x)|u|^{p-2}u=|u|^{p^*-2}u \qquad \mbox{ in }Ω,$$ where and is the critical Sobolev e…
Existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics
Björn Baumeier, Onur Çaylak, Carlo Mercuri +3
We prove existence and uniqueness of solutions to the initial-value problem associated with a class of time-dependent Kohn-Sham equations coupled with Newtonian nuclear dynamics. W…