11 papers
On biharmonic equations with -Laplacian and indefinite potentials or critical nonlinearity
Shibo Liu, Kanishka Perera
In this paper we consider nonlinear biharmonic equations with -Laplacian () of the form $$ \left\{ \begin{array}{l} Δ^2 u - Δ_p u + V (x) u = f (x, u) \text{,} u \in H^2…
Solutions to critical equations with a superposition of nonlocal Hartree-type nonlinearities
Artur Jorge Marinho, Kanishka Perera
We study a class of nonlinear nonlocal elliptic equations in involving superpositions of Hartree-type nonlinearities. Motivated by the Schrödinger-Poisson-Slater sy…
Inhomogeneous nonlinear Schrödinger equations with competing singular nonlinearities
Elisandra Gloss, Kanishka Perera, Bruno Ribeiro
We study nonlinear elliptic equations that arise as stationary states of inhomogeneous nonlinear Schrödinger equations with competing singular nonlinearities. The model involves t…
New solutions to Schrödinger-Poisson-Slater equations in Coulomb-Sobolev spaces
Artur Jorge Marinho, Carlo Mercuri, Kanishka Perera
We prove existence and multiplicity results for the nonlinear and nonlocal PDE where…
Prescribed energy solutions of concave-convex type problems involving sign-changing or vanishing weights
Kanishka Perera, Humberto Ramos Quoirin, Kaye Silva
We provide an abstract approach to find couples satisfying $$Φ_λ(u)=c \quad \mbox{and} \quad Φ'_λ(u)=0,$$ for some suitable values of $c \in \m…
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…