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A layer potential based approach for boundary value problems for harmonic differential forms in nonsmooth domains is developed. This allows a complete and unified treatment of several fundamental problems in potential theory.

Copyright American Mathematical Society 1996

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Article Info

• ERA Amer. Math. Soc. 02 (1996), pp. 92-97
• Publisher Identifier: S 1079-6762(96)00012-1
• 1991 Mathematics Subject Classification. Primary 35J55; Secondary 42B20
• Key words and phrases. Harmonic differential forms, Lipschitz domains, layer potentials
• Received by the editors July 25, 1996
• Communicated by Michael Taylor
• Comments (When Available)

Dorina Mitrea

Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211

E-mail address: dorina@sidon.math.missouri.edu

Marius Mitrea

Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211

E-mail address: marius@msindy2.math.missouri.edu