Harmonic balls and the two-phase Schwarz function
نویسندگان
چکیده
منابع مشابه
Harmonic balls and the two-phase Schwarz function
Here we shall introduce the concept of harmonic balls in subdomains of Rn, through a mean value property for a sub-class of harmonic functions on such domains. In the complex plane, and for analytic functions, a similar concept fails to exist due to the fact that analytic functions can not have prescribed data on the boundary. Nevertheless, a two-phase version of the problem does exists, and gi...
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2013
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476933.2011.622046