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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 $…
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…
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…
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…
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…
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…