22 citations · 110 across the 59 of their papers we have counts for
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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…