3 papers
math.AP2025
Finite energy solutions of quasilinear elliptic equations with Orlicz growth
Estevan Luiz da Silva, João Marcos do Ã
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…
math.AP2025
Sharp Sobolev and Adams-Trudinger-Moser inequalities for symmetric functions without boundary conditions on hyperbolic spaces
João Marcos do Ã, Guozhen Lu, Raonà 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…
math.AP2024
On a quadratic gradient natural term for the Pucci extremal operators
José Francisco de Oliveira, João Marcos do Ã, 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…