Justino S'anchez

activity

20152022

collaborators

4 papers

math.AP2022

Existence, multiplicity and classification results for solutions to $k$ -Hessian equations with general weights

João Marcos do Ó, Justino Sánchez, Evelina Shamarova

The aim of this paper is to study negative classical solutions to a $k$ -Hessian equation involving a nonlinearity with a general weight \begin{equation} \label{Eq:Ma:0} \tag{ $P$ } \…

math.AP2020

A characterization of semistable radial solutions of k-Hessian equations

Miguel Angel Navarro, Justino Sánchez

We characterize semistable radial solutions of the equation $S_k\left(D^2u\right)=g(u)\;\mbox{in } B_1$, where $B_{1}$ is the unit ball of $R^{n}$ , $D^{2} u$ is the Hessian matri…

math.AP2018

Asymptotic behavior of solutions of a k-Hessian evolution equation

Justino Sánchez

We study the long-time behavior of solutions of the $k$ -Hessian evolution equation $u_{t} = S_{k} (D^{2} u)$ , posed on a bounded domain of the $n$ -dimensional space with homogeneous bound…

math.AP2015

Bounded solutions of a $k$ -Hessian equation in a ball

Justino Sánchez, Vicente Vergara

We consider the problem \begin{equation}\label{Eq:Abstract} (1)\;\;\;\begin{cases} S_k(D^2u)= λ(1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\ u=0 &\mbox{on }\partial B, \e…

Existence, multiplicity and classification results for solutions to k-Hessian equations with general weights

A characterization of semistable radial solutions of k-Hessian equations

Asymptotic behavior of solutions of a k-Hessian evolution equation

Bounded solutions of a k-Hessian equation in a ball

Existence, multiplicity and classification results for solutions to $k$ -Hessian equations with general weights

Bounded solutions of a $k$ -Hessian equation in a ball