1 citations · 1 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
Variational methods for scaled functionals with applications to the Schrödinger-Poisson-Slater equation
Carlo Mercuri, Kanishka Perera
We develop novel variational methods for solving scaled equations that do not have the mountain pass geometry, classical linking geometry based on linear subspaces, or $\mathbb Z_2…