L. A. Vallejos

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20182026

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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…

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

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