Vanishing p-capacity of singular sets for p-harmonic functions
In this article, we study a counterpart of the removable singularity property of $p$-harmonic functions. It is shown that p-capacity of the singular set of any $p$-harmonic function vanishes, and such function is always weakly $N(p-1)/(N-p)$-integrable. Several related results are also shown.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/67/abstr.html |