J. García-Melián

activity

20152018

most citedMonotonicity of solutions for some nonlocal elliptic problems in half-spaces

9 citations · 26 across the 6 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017★ 4 cited

Symmetry results in the half space for a semi-linear fractional Laplace equation through a one-dimensional analysis

B. Barrios, L. Del Pezzo, J. García-Melián +1

In this paper we analyze the semi-linear fractional Laplace equation $$(-Δ)^s u = f(u) \quad\text{ in } \mathbb{R}^N_+,\quad u=0 \quad\text{ in } \mathbb{R}^N\setminus \mathbb{R}^N…

math.AP2017

Symmetry of large solutions for semilinear elliptic equations in a ball

Carmen Cortázar, Manuel Elgueta, Jorge García-Melián

In this work we consider the boundary blow-up problem ${Δ u = f (u) u = + \infty in B on \partial B$ where $B$ …

math.AP2017★ 7 cited

Nonexistence of positive solutions for Henon equation

Jorge Garcia-Melian

We consider the semilinear elliptic equation $- Δ u = ∣ x ∣^{α} u^{p} in R^{N},$ where $N \geq 3$ , $α > - 2$ and $p > 1$ . We show that there are no positive solutions prov…