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http://hdl.handle.net/2445/164429| Title: | On Lp solutions to the Laplace equation and zeros of holomorphic functions |
| Author: | Bruna, Joaquim Ortega Cerdà, Joaquim |
| Keywords: | Teoria del potencial (Matemàtica) Equacions en derivades parcials Funcions holomorfes Potential theory (Mathematics) Partial differential equations Holomorphic functions |
| Issue Date: | 1997 |
| Publisher: | Centro Edizioni Scuola Normale Superiore di Pisa |
| Abstract: | The problem we solve in this paper is to characterize, in a smooth domain $\Omega$ in $\mathbb{R}^{n}$ and for $1 \leq p \leq \infty,$ those positive Borel measures on $\Omega$ for which there exists a subharmonic function $u \in L^{p}(\Omega)$ such that $\Delta u=\mu$. |
| Note: | Versió postprint del document publicat a: http://www.numdam.org/item/ASNSP_1997_4_24_3_571_0/ |
| It is part of: | Annali della Scuola Normale Superiore di Pisa. Classe di Scienze, 1997, vol. 24, p. 571-591 |
| URI: | http://hdl.handle.net/2445/164429 |
| ISSN: | 0391-173X |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 136635.pdf | 355.97 kB | Adobe PDF | View/Open |
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