An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators

We prove that each Borel function [Formula: see text] defined on an open subset [Formula: see text] induces a decomposition [Formula: see text] such that every function in [Formula: see text] is zero almost everywhere on S and existence of nonnegative supersolutions of [Formula: see text] on each co...

Descripción completa

Detalles Bibliográficos
Autores principales: Buccheri, Stefano, Orsina, Luigi, Ponce, Augusto C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9279265/
https://www.ncbi.nlm.nih.gov/pubmed/35847965
http://dx.doi.org/10.1007/s13398-022-01293-7
_version_ 1784746356675444736
author Buccheri, Stefano
Orsina, Luigi
Ponce, Augusto C.
author_facet Buccheri, Stefano
Orsina, Luigi
Ponce, Augusto C.
author_sort Buccheri, Stefano
collection PubMed
description We prove that each Borel function [Formula: see text] defined on an open subset [Formula: see text] induces a decomposition [Formula: see text] such that every function in [Formula: see text] is zero almost everywhere on S and existence of nonnegative supersolutions of [Formula: see text] on each component [Formula: see text] yields nonnegativity of the associated quadratic form [Formula: see text]
format Online
Article
Text
id pubmed-9279265
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-92792652022-07-15 An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators Buccheri, Stefano Orsina, Luigi Ponce, Augusto C. Rev R Acad Cienc Exactas Fis Nat A Mat Original Paper We prove that each Borel function [Formula: see text] defined on an open subset [Formula: see text] induces a decomposition [Formula: see text] such that every function in [Formula: see text] is zero almost everywhere on S and existence of nonnegative supersolutions of [Formula: see text] on each component [Formula: see text] yields nonnegativity of the associated quadratic form [Formula: see text] Springer International Publishing 2022-07-13 2022 /pmc/articles/PMC9279265/ /pubmed/35847965 http://dx.doi.org/10.1007/s13398-022-01293-7 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Buccheri, Stefano
Orsina, Luigi
Ponce, Augusto C.
An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators
title An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators
title_full An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators
title_fullStr An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators
title_full_unstemmed An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators
title_short An Agmon–Allegretto–Piepenbrink principle for Schrödinger operators
title_sort agmon–allegretto–piepenbrink principle for schrödinger operators
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9279265/
https://www.ncbi.nlm.nih.gov/pubmed/35847965
http://dx.doi.org/10.1007/s13398-022-01293-7
work_keys_str_mv AT buccheristefano anagmonallegrettopiepenbrinkprincipleforschrodingeroperators
AT orsinaluigi anagmonallegrettopiepenbrinkprincipleforschrodingeroperators
AT ponceaugustoc anagmonallegrettopiepenbrinkprincipleforschrodingeroperators
AT buccheristefano agmonallegrettopiepenbrinkprincipleforschrodingeroperators
AT orsinaluigi agmonallegrettopiepenbrinkprincipleforschrodingeroperators
AT ponceaugustoc agmonallegrettopiepenbrinkprincipleforschrodingeroperators

Ejemplares similares