6 papers · 1 filter
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…
Harmonic functions in the upper half-space
Emerson Abreu, Rodrigo Clemente, João Marcos Do Ó +1
This paper investigates the existence, nonexistence, and qualitative properties of p-harmonic functions in the upper half-space satisfying nonlinear…
Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains
Joao Marcos do O, Guozhen Lu, Raoni Ponciano
We establish embeddings on a class of Sobolev spaces with potential weights on unbounded domains. Our results provide embeddings into weighted Lebesgue spaces with radial p…
Existence, multiplicity and classification results for solutions to -Hessian equations with general weights
João Marcos do Ó, Justino Sánchez, Evelina Shamarova
The aim of this paper is to study negative classical solutions to a -Hessian equation involving a nonlinearity with a general weight \begin{equation} \label{Eq:Ma:0} \tag{} \…
Critical and subcritical fractional problems with vanishing potentials
João Marcos do Ó, Olimpio H. Miyagaki, Marco Squassina
We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are…
Nonautonomous fractional problems with exponential growth
João Marcos do Ó, Olimpio H. Miyagaki, Marco Squassina
We study a class of nonlinear non-autonomous nonlocal equations with subcritical and critical exponential nonlinearity. The involved potential can vanish at infinity.