5 papers
Critical quasilinear elliptic systems with convex subcritical perturbations
Elisandra Gloss, Bruno Ribeiro, Artur Jorge Marinho +2
We study a class of Dirichlet problems for coupled quasilinear elliptic systems driven by the --Laplacian in a bounded domain, where the nonlinear terms split into a critical ho…
Doubly critical mixed-order quasilinear equations: existence, multiplicity and regularity
Elisandra Gloss, Artur Jorge Marinho, Kanishka Perera +1
We investigate a class of mixed-order quasilinear elliptic equations in \(\mathbb R^N\) driven by the \(q\)-biharmonic and \(p\)-Laplacian operators, \[ Δ_q^2u-Δ_pu = λ\frac{|u|^{r…
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…
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…
Critical p-biharmonic problems and applications to Hamiltonian systems
Kanishka Perera, Bruno Ribeiro
We study fourth-order quasilinear elliptic problems that involve the p-biharmonic operator and Navier boundary conditions. The nonlinear term grows at the critical Sobolev rate. St…