6 papers
Anisotropic quasilinear elliptic systems involving nonlinearities with negative critical terms
Elisandra Gloss, Artur Jorge Marinho, Kanishka Perera
In this paper we investigate existence and multiplicity of solutions for a critical growth anisotropic quasilinear elliptic system, depending on two real parameters , that i…
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…
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 sys…
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 $…
Local and nonlocal critical growth anisotropic quasilinear elliptic systems
Artur Jorge Marinho, Kanishka Perera
In this paper we prove new multiplicity results for a critical growth anisotropic quasilinear elliptic system that is coupled through a subcritical perturbation term. We identify a…