9 citations · 19 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
Compactness within the space of complete, constant Q-curvature metrics on the sphere with isolated singularities
João Henrique Andrade, João Marcos do Ó, Jesse Ratzkin
In this paper we consider the moduli space of complete, conformally flat metrics on a sphere with k punctures having constant positive Q-curvature and positive scalar curvature. Pr…