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math.AP2026
Inhomogeneous nonlinear Schrödinger equations with competing singular nonlinearities
Elisandra Gloss, Kanishka Perera, Bruno Ribeiro
We study nonlinear elliptic equations that arise as stationary states of inhomogeneous nonlinear Schrödinger equations with competing singular nonlinearities. The model involves t…
math.AP2025
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…
math.AP2025
Critical p-biharmonic problems and applications to Hamiltonian systems
Kanishka Perera, Bruno Ribeiro
We study fourth-order quasilinear elliptic problems that involve the p-biharmonic operator and Navier boundary conditions. The nonlinear term grows at the critical Sobolev rate. St…