AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact Riemannian spin manifolds with a nearly optimal Sobolev constant. As an application, we give a criterion for the existence of solutions to a nonlinear equation with critical Sobolev exponent involving the Dirac operator. We finally specify a case where this equation can be solved
34 pages, 4 figuresInternational audienceWe investigate spectral features of the Dirac operator with...
We extend the Hijazi type inequality, involving the energy-momentum tensor, to the eigenvalues of th...
AbstractOn a compact Riemannian manifold (Mn,g) with n>4, to solve some elliptic equations of the fo...
Abstract. In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compa...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
AbstractWe study some basic analytical problems for nonlinear Dirac equations involving critical Sob...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
We generalize the well-known lower estimates for the first eigenvalue of the Dirac operator on a com...
We prove a Sobolev inequality with remainder term for the imbedding D-m,D-2(R-N) hooked right arrowL...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
Abstract. We give optimal lower bounds for the hypersurface Dirac operator in terms of the Yamabe nu...
International audienceWe prove the critical Dirac-Sobolev inequality for $p\in(1,3)$. It follows tha...
34 pages, 4 figuresInternational audienceWe investigate spectral features of the Dirac operator with...
We extend the Hijazi type inequality, involving the energy-momentum tensor, to the eigenvalues of th...
AbstractOn a compact Riemannian manifold (Mn,g) with n>4, to solve some elliptic equations of the fo...
Abstract. In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compa...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
AbstractWe study some basic analytical problems for nonlinear Dirac equations involving critical Sob...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
We generalize the well-known lower estimates for the first eigenvalue of the Dirac operator on a com...
We prove a Sobolev inequality with remainder term for the imbedding D-m,D-2(R-N) hooked right arrowL...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
Abstract. We give optimal lower bounds for the hypersurface Dirac operator in terms of the Yamabe nu...
International audienceWe prove the critical Dirac-Sobolev inequality for $p\in(1,3)$. It follows tha...
34 pages, 4 figuresInternational audienceWe investigate spectral features of the Dirac operator with...
We extend the Hijazi type inequality, involving the energy-momentum tensor, to the eigenvalues of th...
AbstractOn a compact Riemannian manifold (Mn,g) with n>4, to solve some elliptic equations of the fo...
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