Kanishka Perera

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20242026

most citedVariational methods for scaled functionals with applications to the Schrödinger-Poisson-Slater equation

1 citations · 1 across the 9 of their papers we have counts for

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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 $- Δ u + (I_{α} ⋆ ∣ u ∣^{p}) ∣ u ∣^{p - 2} u = f (∣ x ∣, u) in R^{N},$ where $…

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 th…