2 papers
math.AP2019
Adams' trace principle on Morrey-Lorentz spaces over -Hausdorff dimensional surfaces
Marcelo F. de Almeida, Lidiane S. M. Lima
In this paper we strengthen to Morrey-Lorentz spaces the famous trace principle introduced by Adams. More precisely, we show that Riesz potential is continuous \begin{equatio…
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{…