• Publications
  • Influence
The role of the green's function in a non-linear elliptic equation involving the critical Sobolev exponent
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. WeExpand
  • 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 versExpand
  • 219
  • 22
  • PDF
Anthropogenically induced adaptation to invade (AIAI): contemporary adaptation to human-altered habitats within the native range can promote invasions
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 introducedExpand
  • 163
  • 17
  • PDF
Proof of two conjectures of H. Brezis and L.A. Peletier
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 conjectureExpand
  • 125
  • 12
Species-specific responses to landscape fragmentation: implications for management strategies
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 fishExpand
  • 79
  • 8
  • PDF
The topological impact of critical points at infinity in a variational problem with lack of compactness: the dimension $3$
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 ellipticExpand
  • 48
  • 7
Adaptation to Global Change: A Transposable Element-Epigenetics Perspective.
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
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 theExpand
  • 23
  • 5
Evidence for host variation in parasite tolerance in a wild fish population
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 toleranceExpand
  • 51
  • 4
  • PDF