Manuel del Pino

activity

20092026

most citedInfinite time blow-up for the 3-dimensional energy critical heat equation

39 citations · 217 across the 35 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.AP2014★ 19 cited

Large Conformal metrics with prescribed sign-changing Gauss curvature

Manuel del Pino, Carlos Román

Let $(M, g)$ be a two dimensional compact Riemannian manifold of genus $g (M) > 1$ . Let $f$ be a smooth function on $M$ such that $f \geq 0, f \neq \equiv 0, M min f = 0.$ …

math.AP2014

Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

Juan Davila, Manuel del Pino, Serena Dipierro +1

For a smooth, bounded domain $Ω$ , $s \in (0, 1)$ , $p \in (1, \frac{n + 2 s}{n - 2 s})$ we consider the nonlocal equation $$ ε^{2s} (-Δ)^s u+u=u^p \quad {\mbox{in}}Ω$$ with zero Dir…

math.AP2014

Large mass boundary condensation patterns in the stationary Keller-Segel system

Manuel del Pino, Giusi Vaira, Angela Pistoia

We consider the boundary value problem $- Δ u + u = λ e^{u}$ in $Ω$ with Neumann boundary condition, where $Ω$ is a bounded smooth domain in $R^{2}$ , $λ > 0.$ This problem is equival…

math.AP2014★ 10 cited

Nonlocal $s$ -minimal surfaces and Lawson cones

Juan Dávila, Manuel del Pino, Juncheng Wei

The nonlocal $s$ -fractional minimal surface equation for $Σ = \partial E$ where $E$ is an open set in $R^{N}$ is given by $$ H_Σ^ s (p) := \int_{R^N} \frac {χ_E(x) - χ_{E^c}(x)} {|x-p…

Large Conformal metrics with prescribed sign-changing Gauss curvature

Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

Large mass boundary condensation patterns in the stationary Keller-Segel system

Nonlocal s-minimal surfaces and Lawson cones

Nonlocal $s$ -minimal surfaces and Lawson cones