R. Vidal

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20222026

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math.AP2025

A local and nonlocal coupling model involving the $p$ -Laplacian

Uriel Kaufmann, Raúl Vidal

In this paper we extend some results presented in \cite{julio} to the case of the $p$ -Laplacian operator. More precisely, we consider a model that couples a local $p$ -Laplacian ope…

math.AP2024

Existence of positive solutions for a semipositone $p (\cdot)$ -Laplacian problem

Lucas A. Vallejos, Raúl E. Vidal

In this paper we find a positive weak solution for a semipositone $p (\cdot)$ - Laplacian problem. More precisely, we find a solution for the problem \[ \left\{ \begin{array}{cc} -Δ…

math.AP2022

Weighted $p (\cdot)$ -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…

A local and nonlocal coupling model involving the p-Laplacian

Existence of positive solutions for a semipositone p(⋅)-Laplacian problem

Weighted p(⋅)-Poincaré and Sobolev inequality]{Weighted -Poincaré and Sobolev inequalities for vector fields satisfiying Hörmander's condition and applications

A local and nonlocal coupling model involving the $p$ -Laplacian

Existence of positive solutions for a semipositone $p (\cdot)$ -Laplacian problem

Weighted $p (\cdot)$ -Poincaré and Sobolev inequality]{Weighted -Poincaré and Sobolev inequalities for vector fields satisfiying Hörmander's condition and applications