Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

The scalar-curvature problem on the standard three-dimensional sphere

Let (S3, c) be the standard 3-sphere, i.e., the 3-sphere equipped with the standard metric. Let K be a C2 positive function on S3. The Kazdan-Warner problem [l] is the problem of finding suitable… Expand

263 29- PDF

An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension

- A. Bahri
- Mathematics
- 1996

133 29

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

218 22- PDF

On the existence of a positive solution of semilinear elliptic equations in unbounded domains

We prove here the existence of a positive solution, under general conditions, for semilinear elliptic equations in unbounded domains with a variational structure. The solutions we build cannot be… Expand

202 18

A perturbation method in critical point theory and applications

- A. Bahri, H. Berestycki
- Mathematics
- 1981

This paper is concerned with existence and multiplicity results for nonlinear elliptic equations of the type -Au = |u|''_1u + h(x) in P», u = 0 on 3s. Here, s c R^ is smooth and bounded, and h e… Expand

244 14- PDF

Morse index of some min-max critical points

On donne un resultat general sur des bornes inferieures pour des indices de Morse de points critiques obtenus par des principes de min-max. En combinant cette information avec une inegalite… Expand

169 12

Solutions of superlinear elliptic equations and their morse indices

We consider here solutions of semilinear second-order elliptic equations with superlinear nonlinearities. And we present some relationships between their Morse Indices and some qualitative… Expand

130 8

A minimax method for a class of Hamiltonian systems with singular potentials

- A. Bahri, P. H. Rabinowitz
- Mathematics
- 1 February 1989

Abstract This paper presents a minimax method which gives existence and multiplicity results for time periodic solutions of a class of Hamiltonian systems when a singular potential is present. The… Expand

95 7- PDF

Topological results on a certain class of functionals and application

- A. Bahri
- Mathematics
- 1 May 1981

We study in this paper problems of the type Δu + ¦u¦p − 1 u = ƒ(x), Ω bounded ⊂ RN, u = 0¦∂Ω, (I) where ƒ(x) is given and where p ϵ (1, (N + 2N − 2)) (p ϵ (1, + ∞) if N ⩽ 2). Our main result is that… Expand

80 6