15 citations · 56 across the 17 of their papers we have counts for
17 papers · 1 filter
Finite energy solutions of quasilinear elliptic equations with Orlicz growth
Estevan Luiz da Silva, João Marcos do Ó
We present a sufficient condition, expressed in terms of Wolff potentials, for the existence of a finite energy solution to the measure data -Laplacian equation with a "subl…
On a quadratic gradient natural term for the Pucci extremal operators
José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla +1
We introduce a quadratic gradient type term for the Pucci extremal operators. Our analysis demonstrates that this proposed term extends the classical quadratic gradient term associ…
Sharp Sobolev and Adams-Trudinger-Moser inequalities for symmetric functions without boundary conditions on hyperbolic spaces
João Marcos do Ó, Guozhen Lu, Raoní Ponciano
Embedding theorems for symmetric functions without zero boundary condition have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have…
Quasilinear Lane-Emden type systems with sub-natural growth terms
Estevan Luiz da Silva, João Marcos do Ó
Global pointwise estimates are obtained for quasilinear Lane-Emden-type systems involving measures in the "sublinear growth" rate. We give necessary and sufficient conditions for e…
Sharp higher order Admas' inequality with exact growth condition on weighted Sobolev spaces
João Marcos do Ó, Guozhen Lu, Raoní Ponciano
This paper introduces a novel higher order Adams inequality that incorporates an exact growth condition for a class of weighted Sobolev spaces. Our rigorous proof confirms the vali…
On a supercritical k-Hessian inequality of Trudinger-Moser type and extremal functions
José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla
We establish a supercritical Trudinger-Moser type inequality for the -Hessian operator on the space of the -admissible radially symmetric functions $Φ^{k}_{0,\mathrm{rad}}(B)…