3 papers
math.AP2025
On a gradient term for a class of second-order PDEs and applications to the infinity Laplace equation
José Francisco de Oliveira
We propose a natural gradient term for a class of second-order partial differential equations of the form \begin{equation}\nonumber M(x,Du,D^2u)+g(u)N(x,Du, D^2u)+f(x,u)=0 \;\;\mbo…
math.AP2025
Adams-Trudinger-Moser inequalities of Adimurthi-Druet type regulated by the vanishing phenomenon and its extremals
Abiel Costa Macedo, José Francisco de Oliveira, Fábio Sodré Rocha
Let with be the standard higher order derivative Sobolev space in the critical exponential growth threshold. We investigate a new Ada…
math.AP2024
Normalized solutions for INLS equation with critical Hardy-Sobolev type nonlinearities
Mykael Cardoso, José Francisco de Oliveira, Olímpio Miyagaki
We are interested in finding prescribed -norm solutions to inhomogeneous nonlinear Schrödinger (INLS) equations. For we treat the equation with combined Hardy-Sobolev…