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Publications Influence

The role of the green's function in a non-linear elliptic equation involving the critical Sobolev exponent

- O. Rey
- Mathematics
- 1 March 1990

This paper is concerned with non-linear elliptic problems of the type (Pe): −Δu = u(N + 2)(N − 2) + eu, u > 0 on Ω; u = 0 on ∂Ω, where Ω is a smooth and bounded domain in RN, N ≥ 4, and e > 0. We… Expand

410 46

On a variational problem with lack of compactness: the topological effect of the critical points at infinity

RésuméNous étudions les problèmes sous-critiquesPɛ:−Δu=up−ɛ,u > 0 surΩ;u=0 sur ∂Ω−oùΩ est un domaine borné et régulier de ℝN,N−3,p + 1=2N/N −2 est l'exposant critique de Sobolev, et ɛ>0 tend vers… Expand

219 22- PDF

Anthropogenically induced adaptation to invade (AIAI): contemporary adaptation to human-altered habitats within the native range can promote invasions

- R. Hufbauer, B. Facon, +5 authors A. Estoup
- Biology, Medicine
- Evolutionary applications
- 2 November 2011

Adaptive evolution is currently accepted as playing a significant role in biological invasions. Adaptations relevant to invasions are typically thought to occur either recently within the introduced… Expand

163 17- PDF

A multiplicity result for a variational problem with lack of compactness

- O. Rey
- Mathematics
- 1 October 1989

105 13

Proof of two conjectures of H. Brezis and L.A. Peletier

- O. Rey
- Mathematics
- 1 March 1989

AbstractIn this paper, we consider the problem: −Δu=N(N−2)up−ɛ, u>0 on Ω; u=0 on ∂Ω, where Ω is a smooth and bounded domain inRN, N≥3, p=
$$\frac{{N + 2}}{{N - 2}}$$
, and ε>0. We prove a conjecture… Expand

125 12

Species-specific responses to landscape fragmentation: implications for management strategies

- S. Blanchet, O. Rey, Roselyne Etienne, S. Lek, G. Loot
- Biology, Medicine
- Evolutionary applications
- 25 January 2010

Habitat fragmentation affects the integrity of many species, but little is known about species‐specific sensitivity to fragmentation. Here, we compared the genetic structure of four freshwater fish… Expand

79 8- PDF

The topological impact of critical points at infinity in a variational problem with lack of compactness: the dimension $3$

- O. Rey
- Mathematics
- 1999

We extend to dimension 33 a result previously known in higher dimensions, concerning the topological effect of critical points at infinity on the level sets of a functional associated to an elliptic… Expand

48 7

Adaptation to Global Change: A Transposable Element-Epigenetics Perspective.

- O. Rey, E. Danchin, M. Mirouze, C. Loot, S. Blanchet
- Biology, Medicine
- Trends in ecology & evolution
- 1 July 2016

Understanding how organisms cope with global change is a major scientific challenge. The molecular pathways underlying rapid adaptive phenotypic responses to global change remain poorly understood.… Expand

106 6- PDF

Heat flow for the equation of surfaces with prescribed mean curvature

- O. Rey
- Mathematics
- 1 March 1991

Let D = {z = (x, y) e R2/x 2 + y2 < 1 }, and H be a function from R 3 to R. If u: D ~ R a is the parametrization of a surface whose mean curvature at the point u(z) is H(u(z)), then u solves in D the… Expand

23 5

Evidence for host variation in parasite tolerance in a wild fish population

- S. Blanchet, O. Rey, G. Loot
- Biology
- Evolutionary Ecology
- 23 January 2010

Hosts can protect themselves against parasites by actively reducing parasites burden (i.e. resistance) or by limiting the damages caused by parasites (i.e. tolerance). Disentangling between tolerance… Expand

51 4- PDF