Simple view

Full metadata view

Authors

Statistics

Very weak solutions of quadratic Hessian equations

2027
journal article
article
10.1016/j.na.2026.114236
Journal
Nonlinear Analysis, Theory, Methods and Applications
140
Author
Dinew Sławomir

Myga Szymon
Volume
274
Article ID
114236
ISSN
0362-546X
Keywords in English

very weak solutions

regularity

convex integration

URL
https://www.sciencedirect.com/science/article/pii/S0362546X26001823?via%3Dihub#abs0001
Access date
2026-08-26
Language
English
Journal language
English
Abstract in English

We extend the methods of Lewicka - Pakzad, Székelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex 𝜎2 equation in domains in ℂ𝑛, 𝑛 ≥ 2. As a by-product we sharpen the regularity threshold of the counterexamples obtained by Li and Qiu in the real case.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.abstract.enWe extend the methods of Lewicka - Pakzad, Székelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex 𝜎2 equation in domains in ℂ𝑛, 𝑛 ≥ 2. As a by-product we sharpen the regularity threshold of the counterexamples obtained by Li and Qiu in the real case.
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorDinew, Sławomir - 200069
dc.contributor.authorMyga, Szymon
dc.date.accession2026-08-26
dc.date.accessioned2026-08-27T07:01:02Z
dc.date.available2026-08-27T07:01:02Z
dc.date.createdat2026-08-24T09:46:03Zen
dc.date.issued2027
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume274
dc.identifier.articleid114236
dc.identifier.doi10.1016/j.na.2026.114236
dc.identifier.issn0362-546X
dc.identifier.projectDRC AI
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/581155
dc.identifier.weblinkhttps://www.sciencedirect.com/science/article/pii/S0362546X26001823?via%3Dihub#abs0001
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.typeinne
dc.source.integratorfalse
dc.subject.envery weak solutions
dc.subject.enregularity
dc.subject.enconvex integration
dc.subtypeArticle
dc.titleVery weak solutions of quadratic Hessian equations
dc.title.journalNonlinear Analysis, Theory, Methods and Applications
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
We extend the methods of Lewicka - Pakzad, Székelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex 𝜎2 equation in domains in ℂ𝑛, 𝑛 ≥ 2. As a by-product we sharpen the regularity threshold of the counterexamples obtained by Li and Qiu in the real case.
dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.author
Dinew, Sławomir - 200069
dc.contributor.author
Myga, Szymon
dc.date.accession
2026-08-26
dc.date.accessioned
2026-08-27T07:01:02Z
dc.date.available
2026-08-27T07:01:02Z
dc.date.createdaten
2026-08-24T09:46:03Z
dc.date.issued
2027
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
274
dc.identifier.articleid
114236
dc.identifier.doi
10.1016/j.na.2026.114236
dc.identifier.issn
0362-546X
dc.identifier.project
DRC AI
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/581155
dc.identifier.weblink
https://www.sciencedirect.com/science/article/pii/S0362546X26001823?via%3Dihub#abs0001
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.source.integrator
false
dc.subject.en
very weak solutions
dc.subject.en
regularity
dc.subject.en
convex integration
dc.subtype
Article
dc.title
Very weak solutions of quadratic Hessian equations
dc.title.journal
Nonlinear Analysis, Theory, Methods and Applications
dc.type
JournalArticle
dspace.entity.typeen
Publication
Affiliations
Wydział Matematyki i Informatyki
Dinew, Sławomir
mathematics
No affiliation
Myga, Szymon

* The migration of download and view statistics prior to the date of April 8, 2024 is in progress.

Views
4
Views per month
Views per city
Krakow
2
Katowice
1
Downloads
dinew_et-al_very_weak_solutions_of_quadratic_2027.pdf
1

Open Access

Thumbnail Image
License
CC-BY

Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa

Collections
Research publications
DRC AI
Exact sciences