Marta García Huidobro

collaborators

2 papers

math.AP2022

Elliptic Hamilton-Jacobi systems and Lane-Emden Hardy-H{é}non equations

Marie-Françoise Bidaut-Véron, Marta Garcia Huidobro

Here we study the solutions of any sign of the system -- $Δ$ u 1 = | $\nabla$ u 2 | p , -- $Δ$ u 2 = | $\nabla$ u 1 | q , in a domain of R N , N 3 and p, q > 0, pq > 1.. We show their rela…

math.AP2021

Singular solutions of some elliptic equations involving mixed absorption-reaction

Marie-Françoise Bidaut-Véron, Marta Garcia Huidobro, Laurent Véron

We study properties of nonnegative functions satisfying (E) $- Δ u + u^{p} - M ∣\nabla u ∣^{q} = 0$ is a domain of $R^{N}$ when $p > 1$ , $M > 0$ and $1 < q < p$ . We concentrate our analysis on t…