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. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - STAMPA. - 54:5(2005), pp. 1483-1497. [10.1512/iumj.2005.54.2665]

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.
2005
ISOPERIMETRIC TYPE INEQUALITIES FOR DIFFERENTIAL FORMS ON MANIFOLDS / Giannetti, Flavia; PASSARELLI DI NAPOLI, Antonia. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - STAMPA. - 54:5(2005), pp. 1483-1497. [10.1512/iumj.2005.54.2665]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/11683
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