Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/164429
 Title: On Lp solutions to the Laplace equation and zeros of holomorphic functions Author: Bruna, JoaquimOrtega Cerdà, Joaquim Keywords: Teoria del potencial (Matemàtica)Equacions en derivades parcialsFuncions holomorfesPotential theory (Mathematics)Partial differential equationsHolomorphic 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)

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