HARMONIC FUNCTIONS WITH GIVEN VALUES AND MINIMUM NORMS IN RIEMANNIAN SPACES
نویسندگان
چکیده
منابع مشابه
Harmonic Functions with given Values and Minimum Norms in Riemannian Spaces.
We use the standard notations: differential forms ap, their exterior algebra A, exterior derivative d<p, Hodge's star operator *, coderivative 3f = (_ 1)nP + n 1*d*(P, Laplace-Beltrami operator A = d3 + Md, exterior product (pAg,, inner product (so,*) = fJmpA*4p, and the Dirichlet norm D(sp) = (dep, dp) + (a<p, 5op). For 0forms u the norm reduces to D(u) = (du, du), and Au has the representation
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1965
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.53.2.270