Abstract
Let X be a smooth oriented Riemannian n-manifold without boundary and (Φ,Ψ) ∈ L p (Λ X ) × L r (Λ n-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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