Abstract
We consider layer potentials associated with the Hodge-Laplacian acting on differential forms of arbitrary degree defined on Lipschitz subdomains of a Riemannian manifold. The main emphasis is on the interplay between the mapping properties of such layer potentials and the topology of the underlying domain.
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Partially supported by a UMC Research Board Grant
Partially supported by NSF grant DMS-9870018
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Mitrea, D., Mitrea, M. Higher degree layer potentials for non-smooth domains with arbitrary topology. Integr equ oper theory 37, 457–486 (2000). https://doi.org/10.1007/BF01192833
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DOI: https://doi.org/10.1007/BF01192833