On Lp solutions to the Laplace equation and zeros of holomorphic functions

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dc.contributor.authorBruna, Joaquim
dc.contributor.authorOrtega Cerdà, Joaquim
dc.date.accessioned2020-06-05T09:08:01Z
dc.date.available2020-06-05T09:08:01Z
dc.date.issued1997
dc.date.updated2020-06-05T09:08:01Z
dc.description.abstractThe 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 $\Delta u=\mu$.
dc.format.extent21 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec136635
dc.identifier.issn0391-173X
dc.identifier.urihttps://hdl.handle.net/2445/164429
dc.language.isoeng
dc.publisherCentro Edizioni Scuola Normale Superiore di Pisa
dc.relation.isformatofVersió postprint del document publicat a: http://www.numdam.org/item/ASNSP_1997_4_24_3_571_0/
dc.relation.ispartofAnnali della Scuola Normale Superiore di Pisa. Classe di Scienze, 1997, vol. 24, p. 571-591
dc.rights(c) Centro Edizioni Scuola Normale Superiore di Pisa, 1997
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationTeoria del potencial (Matemàtica)
dc.subject.classificationEquacions en derivades parcials
dc.subject.classificationFuncions holomorfes
dc.subject.otherPotential theory (Mathematics)
dc.subject.otherPartial differential equations
dc.subject.otherHolomorphic functions
dc.titleOn Lp solutions to the Laplace equation and zeros of holomorphic functions
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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