Juan C. Ortiz

collaborators

2 papers

math.AP2026

Sharp existence and non-existence for singular $1$ -Laplace equations with Hardy potentials

Juan Carlos Chata Ortiz, Francesco Petitta

In this paper, we investigate the singular Dirichlet problem \begin{equation}\label{abs1} \left\{ \begin{array}{rclr} -Δ_1u &=&\dfracλ{|x|}\hbox{Sgn}\,(u)+\dfrac{f}{u^γ}&\quad\mbox…

math.AP2026

Gradient constraints, Born-Infeld, and maximal surfaces via superposition of infinitely many $p$ -Laplacians

Haydar Abdel Hamid, Juan Carlos Chata Ortiz, Francesco Petitta +1

We study the Dirichlet problem for an infinite series of $p$ -Laplacians, $- p = 2 \sum \infty a_{p} Δ_{p} u = f in Ω, u = g on \partial Ω,$ where $\{a_{p}\}…

Sharp existence and non-existence for singular 1-Laplace equations with Hardy potentials

Gradient constraints, Born-Infeld, and maximal surfaces via superposition of infinitely many p-Laplacians

Sharp existence and non-existence for singular $1$ -Laplace equations with Hardy potentials

Gradient constraints, Born-Infeld, and maximal surfaces via superposition of infinitely many $p$ -Laplacians