Abstract
Let Ω be a bounded domain in IRn and f a bounded function on ∂Ω. Put
taken over all u ∈ \(_f \), where \(_f \) is the class of all subharmonic and continuous functions u on Ω which satisfy \(\overline {\mathop {lim}\limits_{x \to x_0 } } u\left( x \right) \leqslant f\left( {x_0 } \right)\) for all x0 ∈ ∂Ω.
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© 1974 Springer-Verlag Berlin Heidelberg
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Wermer, J. (1974). Barriers. In: Potential Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12727-8_14
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DOI: https://doi.org/10.1007/978-3-662-12727-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06857-0
Online ISBN: 978-3-662-12727-8
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