2 papers
math.AP2026
Nonlinear parabolic thin sets and parabolic Wolff inequalities
Marcelo F. de Almeida, Edilson P. dos Santos Filho
We prove a parabolic analogue of Wolff's inequality adapted to the intrinsic scaling and formulated in terms of time-backward parabolic dyadic rectangles. As a…
math.AP2018
Nonlinear boundary problem for Harmonic functions in higher dimensional Euclidean half-spaces
Marcelo F. de Almeida, Lidiane S. M. Lima
In this paper we are interested on solvability of the problem \begin{align*} \begin{cases} -Δu=0 & \text{in} \;\;\;\mathbb{R}^{n+1}_{+}\;\;\;\;\;\;\;\;\;\\ \;\;\displaystyle{\frac{…