A Sobolev-like inequality for the Dirac operator - Mathematics > Differential GeometryReportar como inadecuado




A Sobolev-like inequality for the Dirac operator - Mathematics > Differential Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: In this article, we prove a Sobolev-like inequality for the Dirac operator onclosed compact Riemannian spin manifolds with a nearly optimal Sobolevconstant. As an application, we give a criterion for the existence of solutionsto a nonlinear equation with critical Sobolev exponent involving the Diracoperator. We finally specify a case where this equation can be solved.



Autor: Simon Raulot UNINE

Fuente: https://arxiv.org/







Documentos relacionados