AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n and 1 < p < n) is achieved on compact Riemannian manifolds, or only complete under some hypotheses. We also establish stronger inequalities where the norms are to some exponent which seems optimal
AbstractIn this paper we establish the best constants for a Sobolev inequality and a Sobolev trace i...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
The purpose of this paper is to give a self-contained proof that a complete manifold with more than ...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
AbstractIn this note we consider the classical Sobolev inequality ∥▽ϑ∥2 ⩾ S ∥ϑ∥2∗, ∀ϑ∈D01,2, where S...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
AbstractLet (M,g) be a smooth compact RiemannianN-manifold,N⩾2, letp∈(1,N) real, and letHp1(M) be th...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
Let (M,g) be an n-dimensional (n≥3) compact Riemannian manifold with Ric(M,g)≥(n−1)g. If (M,g) suppo...
AbstractLet (M,g) be a smooth compact Riemannian manifold without boundary of dimension n⩾2. For 1<p...
Jury : Monsieur HEBEY Emmanuel, Monsieur HELEIN Frédéric (rapporteur et président du jury), Monsieur...
Jury : Monsieur HEBEY Emmanuel, Monsieur HELEIN Frédéric (rapporteur et président du jury), Monsieur...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
AbstractIn this paper we establish the best constants for a Sobolev inequality and a Sobolev trace i...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
The purpose of this paper is to give a self-contained proof that a complete manifold with more than ...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
AbstractIn this note we consider the classical Sobolev inequality ∥▽ϑ∥2 ⩾ S ∥ϑ∥2∗, ∀ϑ∈D01,2, where S...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
AbstractLet (M,g) be a smooth compact RiemannianN-manifold,N⩾2, letp∈(1,N) real, and letHp1(M) be th...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
Let (M,g) be an n-dimensional (n≥3) compact Riemannian manifold with Ric(M,g)≥(n−1)g. If (M,g) suppo...
AbstractLet (M,g) be a smooth compact Riemannian manifold without boundary of dimension n⩾2. For 1<p...
Jury : Monsieur HEBEY Emmanuel, Monsieur HELEIN Frédéric (rapporteur et président du jury), Monsieur...
Jury : Monsieur HEBEY Emmanuel, Monsieur HELEIN Frédéric (rapporteur et président du jury), Monsieur...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
AbstractIn this paper we establish the best constants for a Sobolev inequality and a Sobolev trace i...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
The purpose of this paper is to give a self-contained proof that a complete manifold with more than ...
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