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

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

math.AP2025

Prescribed energy solutions of concave-convex type problems involving sign-changing or vanishing weights

Kanishka Perera, Humberto Ramos Quoirin, Kaye Silva

We provide an abstract approach to find couples satisfying $$Φ_λ(u)=c \quad \mbox{and} \quad Φ'_λ(u)=0,$$ for some suitable values of $c \in \mathbb…

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\in…

math.AP2025

Schrodinger-Poisson-Slater equations with nonlinearity subscaled near zero

Shibo Liu, Kanishka Perera

We study the following zero-mass Schr{ö}dinger-Poisson-Slater equation \[ - Δu + \left( \frac{1}{4 π| x |} \ast u^2 \right) u = f (| x |, u) \text{,} \qquad u \in \mathcal{D}^{1, 2…

math.AP2025

On a scaled abstract linking theorem with an application to the Schrödinger--Poisson--Slater equation

Kanishka Perera, Kaye Silva

We prove an abstract linking theorem that can be used to show existence of solutions to various types of variational elliptic equations, including Schrödinger--Poisson--Slater type…

math.AP2025

On the -dimensional Schrödinger--Poisson--Slater equation à la Brezis--Nirenberg

Kanishka Perera, Kaye Silva

With aid of the Pohozaev's identity and Nehari manifold, we prove the existence and multiplicity of solutions to -dimensional Schrödinger--Poisson--Slater type equations involvi…

math.AP2025

Prescribed energy solutions to some scaled problems via a scaled Nehari manifold

Kanishka Perera, Kaye Silva

We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Neh…