11 citations · 12 across the 7 of their papers we have counts for
5 papers · 1 filter
Supercritical Schrödinger equations involving integro-differential operators and vanishing potentials
Ronaldo C. Duarte, Diego Ferraz
This paper is devoted to the study of the existence of positive and bounded solutions for a Schrödinger type equation defined on the entire Euclidean space, involving a general int…
Concentration-compactness via profile decomposition for systems of coupled Schrödinger equations of Hamiltonian type
Anderson Cardoso, João Marcos do Ó, Diego Ferraz
We analyse Hamiltonian-type systems of second-order elliptic PDE invariant under a non-compact group and, consequently, involve a lack of compactness of the Sobolev embedding. We s…
Existence of bound states for quasilinear elliptic problems involving critical growth and frequency
Diego Ferraz
In this paper we study the existence of bound states of the following class of quasilinear problems, \begin{equation*} \left\{ \begin{aligned} &-\varepsilon ^pΔ_pu+V(x)u^{p-1}=f(u)…
Concentration-compactness at the mountain pass level for nonlocal Schrödinger equations
João Marcos do Ó, Diego Ferraz
The aim of this paper is to study a concentration-compactness principle for inhomogeneous fractional Sobolev space for As an application we esta…
Concentration-compactness principle for nonlocal scalar field equations with critical growth
João Marcos do Ó, Diego Ferraz
The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space for As an a…