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 article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
International audienceGiven a compact Riemannian manifold of dimension > 2 It has been proved tha...
Let (M, g) be a smooth compact Riemannian manifold of dimension n ≥ 2. This paper concerns to the va...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
AbstractIn this paper we establish the best constants for a Sobolev inequality and a Sobolev trace i...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
AbstractLet (M,g) be a smooth compact RiemannianN-manifold,N⩾2, letp∈(1,N) real, and letHp1(M) be th...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
AbstractWe study the second best constant problem for logarithmic Sobolev inequalities on complete R...
AbstractWe study the asymptotic behaviour of best Sobolev constants on a compact manifold with bound...
Abstract. In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compa...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
International audienceGiven a compact Riemannian manifold of dimension > 2 It has been proved tha...
Let (M, g) be a smooth compact Riemannian manifold of dimension n ≥ 2. This paper concerns to the va...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
AbstractIn this paper we establish the best constants for a Sobolev inequality and a Sobolev trace i...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
AbstractLet (M,g) be a smooth compact RiemannianN-manifold,N⩾2, letp∈(1,N) real, and letHp1(M) be th...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
AbstractWe study the second best constant problem for logarithmic Sobolev inequalities on complete R...
AbstractWe study the asymptotic behaviour of best Sobolev constants on a compact manifold with bound...
Abstract. In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compa...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
International audienceGiven a compact Riemannian manifold of dimension > 2 It has been proved tha...
Let (M, g) be a smooth compact Riemannian manifold of dimension n ≥ 2. This paper concerns to the va...
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