3 papers
math.AP2026
Solutions to critical equations with a superposition of nonlocal Hartree-type nonlinearities
Artur Jorge Marinho, Kanishka Perera
We study a class of nonlinear nonlocal elliptic equations in involving superpositions of Hartree-type nonlinearities. Motivated by the Schrödinger-Poisson-Slater sy…
math.AP2026
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…
math.AP2024
Local and nonlocal critical growth anisotropic quasilinear elliptic systems
Artur Jorge Marinho, Kanishka Perera
In this paper we prove new multiplicity results for a critical growth anisotropic quasilinear elliptic system that is coupled through a subcritical perturbation term. We identify a…