2 papers
math.AP2023
Existence of solutions for a -Hessian equation and its connection with self-similar solutions
Justino Sánchez
Let be real parameters and let . We study radially symmetric solutions of \begin{equation*} S_k(D^2v)+αv+βξ\cdot\nabla v=0,\, v>0\;\; \mbox{in}\;\; \mathbb{R}^n,\; v(0)=…
math.AP2022
Existence, multiplicity and classification results for solutions to -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 -Hessian equation involving a nonlinearity with a general weight \begin{equation} \label{Eq:Ma:0} \tag{} \…