9 citations · 19 across the 13 of their papers we have counts for
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math.AP2021★ 9 cited
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…
math.AP2021★ 4 cited
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…