544 citations
- European Southern ObservatoryCL53 papers
- Pontificia Universidad Católica de ChileCL33 papers
- Yale UniversityUS24 papers
- Centre National de la Recherche ScientifiqueFR22 papers
- Osservatorio Astronomico di PadovaIT18 papers
- Center for Astrophysics Harvard & SmithsonianUS13 papers
- Instituto de Astrofísica de CanariasES13 papers
- University of California, BerkeleyUS13 papers
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- National Institute for AstrophysicsIT12 papers
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7 papers · 1 filter
Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
Jerome Coville, Juan Davila, Salome Martinez
Let , , $\int_{\tiny$\mathbb{R}$} J = 1$ and consider the nonlocal diffusion operator . We study the equation $\mathcal…
Nonlocal anisotropic dispersal with monostable nonlinearity
Jerome Coville, Juan Davila, Salome Martinez
We study the travelling wave problem J\astu - u - cu' + f (u) = 0 in R, u(-\infty) = 0, u(+\infty) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the exist…
A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem
Lucie Baudouin, Alberto Mercado, Axel Osses
We consider a transmission wave equation in two embedded domains in , where the speed is in the inner domain and in the outer domain. We prove a global Carle…
The Toda system and multiple-end solutions of autonomous planar elliptic problems
Manuel del Pino, Michał Kowalczyk, Frank Pacard +1
We construct a new class of positive solutions for a classical semilinear elliptic problem in the plane which arise for instance as the standing-wave problem for the standard nonli…
Boundary singularities for weak solutions of semilinear elliptic problems
Manuel del Pino, Monica Musso, Frank Pacard
We construct positive weak solutions of a class of semilinear elliptic equation which vanish in suitable trace sense on the boundary of a given smooth bounded N-dimensional domain,…
The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity
Manuel del Pino, Claudio Muñoz
We consider the problem of Ambrosetti-Prodi type \begin{equation}\label{0}\quad\begin{cases} Δu + e^u = sϕ_1 + h(x) &\hbox{in} Ω, u=0 & \hbox{on} \partial Ω, \end{cases} \nonumber…