22 citations · 110 across the 59 of their papers we have counts for
65 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…
A unifying zero-mass equation
Kanishka Perera
We introduce the nonlocal zero-mass equation \[ - Δu + Φ_u(|x|)\, |u|^{p-2}\, u = f(u) \quad \text{in } {\mathbb R}^N, \qquad Φ_u(r) = a \int_r^\infty ρ^{-b}\, h_u^{q-1}(ρ)\, dρ, \…
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 sys…