9 citations · 19 across the 13 of their papers we have counts for
13 papers
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, 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{} \…
Constant Q-curvature metrics with Delaunay ends: the nondegenerate case
João Henrique Andrade, Rayssa Caju, João Marcos do Ó +2
We construct a one-parameter family of solutions to the positive singular Q-curvature problem on compact nondegenerate manifolds of dimension bigger than four with finitely many pu…
Equivalence of critical and subcritical sharp Trudinger-Moser inequalities in fractional dimensions and extremal functions
José Francisco de Oliveira, João Marcos do Ó
We establish critical and subcritical sharp Trudinger-Moser inequalities for fractional dimensions on the whole space. Moreover, we obtain asymptotic lower and upper bounds for the…
The -equivariant Kazdan--Warner problem
Leonardo F. Cavenaghi, João Marcos do Ó, Llohann D. Sperança
We establish an equivariant analogue of the Kazdan--Warner trichotomy for admissible scalar curvature functions. Let be a closed connected manifold of dimension equip…
Singular solutions to -Hessian equations with fast-growing nonlinearities
João Marcos do Ó, Evelina Shamarova, Esteban da Silva
We study a class of elliptic problems, involving a -Hessian and a very fast-growing nonlinearity, on a unit ball. We prove the existence of a radial singular solution and obtain…