M. García-Huidobro

activity

20062026

most citedEstimates of solutions of elliptic equations with a source reaction term involving the product of the function and its gradient

32 citations · 63 across the 19 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014

Boundary singularities of positive solutions of quasilinear Hamilton-Jacobi equations

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

We study the boundary behaviour of the solutions of (E) $- Δ_{p} u + ∣\nabla u ∣^{q} = 0$ in a domain $Ω \subset R^{N}$ , when $N \geq p > q > p - 1$ . We show the existence of a critical ex…

math.AP2014

Existence of sign changing solutions for an equation with a weighted p-Laplace operator

Carmen Cortázar, Jean Dolbeault, Marta Garcia-Huidobro +1

We consider radial solutions of a general elliptic equation involving a weighted $p$ -Laplace operator with a subcritical nonlinearity. By a shooting method we prove the existence o…

math.AP2014

Local and global properties of solutions of quasilinear Hamilton-Jacobi equations

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

We study some properties of the solutions of (E) $\;-\Gd_p u+|\nabla u|^q=0$ in a domain $\Gw \sbs \BBR^N$, mostly when $p \geq q > p - 1$ . We give a universal priori estimate of the gr…