A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells
We prove a polyharmonic analogue of a Lelong theorem using the topological method presented by Siciak for harmonic functions. Then we establish the harmonicity cells of a union, intersection, and limit of domains of $mathbb{R}^n$. We also determine explicitly all the extremal points and support hype...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/09/b2/abstr.html |