J. D'avila

activity

20102026

most citedLong-time asymptotics for evolutionary crystal dislocation models

11 citations · 34 across the 9 of their papers we have counts for

collaborators

Showing 2013 · math.APShow all

2 papers · 2 filters

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★ 2 cited

Regular solutions to a supercritical elliptic problem in exterior domains

Juan Dávila, Luis F. López

We consider the supercritical elliptic problem -Δu = λe^u, λ> 0, in an exterior domain $Ω = R^{N} ∖ D$ under zero Dirichlet condition, where D is smooth and bounded i…