3 papers
math.AP2022
Some results for semi-stable radial solutions of -Hessian equations
Miguel Angel Navarro, Justino Sanchez
We devote this paper to study semi-stable nonconstant radial solutions of on the Euclidean space . We establish pointwise estimates and necessary cond…
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…