2 papers
math.AP2025
A k-Hessian equation with a power nonlinearity source and self-similarity
Justino Sánchez
We study existence and uniqueness of spherically symmetric solutions of S_k(D^2v)+beta xi\cdot\nabla v+αv+\abs{v}^{q-1}v=0 in R^n, where α,βare real parameters, n>2,\, q>k\geq 1 an…
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)=…