Universitat de Barcelona
2020-06-05T09:08:01Z
2020-06-05T09:08:01Z
1997
2020-06-05T09:08:01Z
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 $\Delta u=\mu$.
Article
Accepted version
English
Teoria del potencial (Matemàtica); Equacions en derivades parcials; Funcions holomorfes; Potential theory (Mathematics); Partial differential equations; Holomorphic functions
Centro Edizioni Scuola Normale Superiore di Pisa
Versió postprint del document publicat a: http://www.numdam.org/item/ASNSP_1997_4_24_3_571_0/
Annali della Scuola Normale Superiore di Pisa. Classe di Scienze, 1997, vol. 24, p. 571-591
(c) Centro Edizioni Scuola Normale Superiore di Pisa, 1997
