4 papers
Dynamics of Fractional Wave Equations with Nonlocal Damping
Raúl E. Vidal, Vando Narciso
In this work we study a fractional wave equation with Balakrishnan--Taylor type damping posed on a bounded domain . The model couples the fractional Laplacian…
A local and nonlocal coupling model involving the -Laplacian
Uriel Kaufmann, Raúl Vidal
In this paper we extend some results presented in \cite{julio} to the case of the -Laplacian operator. More precisely, we consider a model that couples a local -Laplacian ope…
Existence of positive solutions for a semipositone -Laplacian problem
Lucas A. Vallejos, Raúl E. Vidal
In this paper we find a positive weak solution for a semipositone - Laplacian problem. More precisely, we find a solution for the problem \[ \left\{ \begin{array}{cc} -Δ…
Weighted -Poincaré and Sobolev inequality]{Weighted -Poincaré and Sobolev inequalities for vector fields satisfiying Hörmander's condition and applications
L. A. Vallejos, R. E. Vidal
In this paper we will establish different weighted Poincaré inequalities with variable exponents on Carnot-Carathéodory spaces or Carnot groups. We will use different techniques to…