3 papers
math.PR2021
A non-linear stable non-Gaussian process in fractional time
Soveny Solís, Vicente Vergara
A subdiffusion problem in which the diffusion term is related to a stable stochastic process is introduced. Linear models of these systems have been studied in a general way, but n…
math.AP2018
Multiplicity of bounded solutions to the -Hessian equation with a Matukuma-type source
Yasuhito Miyamoto, Justino Sanchez, Vicente Vergara
The aim of this paper is to deal with the -Hessian counterpart of the Laplace equation involving a nonlinearity studied by Matukuma. Namely, our model is the problem \begin{equa…
math.AP2016
Radially bounded solutions of a -Hessian equation involving a weighted nonlinear source
Justino Sanchez, Vicente Vergara
We consider the problem \begin{equation}(1)\;\;\; \begin{cases} S_k(D^2u)= λ|x|^σ (1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\ u=0 &\mbox{on }\partial B, \end{cases} \en…