6 citations · 9 across the 3 of their papers we have counts for
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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…
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{…
Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
Lucas C. F. Ferreira, Lidiane S. M. Lima
We are concerned with a family of dissipative active scalar equation with velocity fields coupled via multiplier operators that can be of high-order. We consider sub-critical value…
Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings
Lucas C. F. Ferreira, Lidiane S. M. Lima
We consider a family of dissipative active scalar equations outside the -space. This was introduced in [D. Chae, P. Constantin, J. Wu, to appear in IUMJ (2014)] and its velo…