Let X be a smooth oriented Riemannian n-manifold without boundary and (Phi, Psi) is an element of L-p (Lambda^(l) X) x L-r(Lambda^(n-l)X), 1/p + 1/r = 1 + 1/n, be a pair of closed differential forms. We prove an isoperimetric type inequality for such differential forms under suitable assumptions. As an application we derive Holder continuity for solutions of Hodge systems.

ISOPERIMETRIC TYPE INEQUALITIES FOR DIFFERENTIAL FORMS ON MANIFOLDS

GIANNETTI, FLAVIA;PASSARELLI DI NAPOLI, ANTONIA
2005

Abstract

Let X be a smooth oriented Riemannian n-manifold without boundary and (Phi, Psi) is an element of L-p (Lambda^(l) X) x L-r(Lambda^(n-l)X), 1/p + 1/r = 1 + 1/n, be a pair of closed differential forms. We prove an isoperimetric type inequality for such differential forms under suitable assumptions. As an application we derive Holder continuity for solutions of Hodge systems.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/11683
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