106 citations · 620 across the 36 of their papers we have counts for
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Existence and classification of solutions for singular 1-Laplacian equations with gradient terms
Antonio J. Martínez Aparicio, Francescantonio Oliva, Francesco Petitta
We study the existence and qualitative properties of non-negative solutions to singular 1-Laplacian problems of the form \begin{equation*} \begin{cases} -Δ_1 u = g(u)|D u| + h(u)f…
Sharp existence and non-existence for singular -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…
Gradient constraints, Born-Infeld, and maximal surfaces via superposition of infinitely many -Laplacians
Haydar Abdel Hamid, Juan Carlos Chata Ortiz, Francesco Petitta +1
We study the Dirichlet problem for an infinite series of -Laplacians, where $\{a_{p}\}…
New definitions of a solution of a one-dimensional elliptic equation with a singular first order divergence term
Daniela Giachetti, Pedro Jesús Martínez-Aparicio, François Murat +1
In this paper, which is a continuation of our recent paper [1], we give two new definitions of a weak solution of the one-dimensional, elliptic, nonlinear singular problem which is…