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On the weakLp-Hodge decomposition and Beurling–Ahlfors transforms on complete Riemannian manifolds

✍ Scribed by Xiang-Dong Li


Publisher
Springer
Year
2010
Tongue
English
Weight
337 KB
Volume
150
Category
Article
ISSN
1432-2064

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We consider two basic potential theoretic problems in Riemannian manifolds: Hodge decompositions and Maxwell's equations. Here we are concerned with smoothness and integrability assumptions. In the context of L p forms in Lipschitz domains, we show that both are well posed provided that 2 -e < p < 2