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 2013Show all

4 papers · 1 filter

math.AP2013★ 36 cited

Serrin's Overdetermined Problem and Constant Mean Curvature Surfaces

Manuel del Pino, Frank Pacard, Juncheng Wei

For all $N \geq 9$ , we find smooth entire epigraphs in $R^{N}$ , namely smooth domains of the form $Ω := {x \in R^{N} / x_{N} > F (x_{1}, \dots, x_{N - 1})}$ , which are not half-spaces…

math.AP2013

Infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials

Manuel del Pino, Juncheng Wei, Wei Yao

We consider the standing-wave problem for a nonlinear Schrödinger equation, corresponding to the semilinear elliptic problem \begin{equation*} -Δu+V(x)u=|u|^{p-1}u,\ u\in H^1(\math…

math.AP2013★ 5 cited

Concentrating standing waves for the fractional nonlinear Schrödinger equation

Juan Dávila, Manuel del Pino, Juncheng Wei

We consider the semilinear equation $ε^{2 s} (- Δ)^{s} u + V (x) u - u^{p} = 0, u > 0, u \in H^{2 s} (R^{N})$ where $0 < s < 1, 1 < p < \frac{N + 2 s}{N - 2 s}$ , $V (x)$ is a sufficiently smo…

math.AP2013

Non-topological condensates for the self-dual Chern-Simons-Higgs model

Manuel del Pino, Pierpaolo Esposito, Pablo Figueroa +1

For the abelian self-dual Chern-Simons-Higgs model we address existence issues of periodic vortex configurations -- the so-called condensates-- of non-topological type as $k \to 0$ …