Artykuł w czasopiśmie
Brak miniatury
Licencja
ClosedAccessDostęp zamknięty
 

Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes

Uproszczony widok
dc.abstract.enLet a closed -dimensional manifold, be a closed manifold, and let for . We extend the monumental work of Sacks and Uhlenbeck by proving that if , then there exists a minimizing -harmonic map homotopic to . If , then we prove that there exists a -harmonic map from to in a generating set of . Since several techniques, especially Pohozaev-type arguments, are unknown in the fractional framework (in particular, when , one cannot argue via an extension method), we develop crucial new tools that are interesting on their own: such as a removability result for point singularities and a balanced energy estimate for nonscaling invariant energies. Moreover, we prove the regularity theory for minimizing -maps into manifolds.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSchikorra, Armin
dc.contributor.authorMazowiecka, Katarzyna
dc.date.accessioned2024-01-25T12:40:18Z
dc.date.available2024-01-25T12:40:18Z
dc.date.issued2023
dc.description.financePublikacja bezkosztowa
dc.description.number2
dc.description.volume108
dc.identifier.doi10.1112/JLMS.12769
dc.identifier.issn0024-6107
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/112633
dc.identifier.weblinkhttps://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.12769
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of the London Mathematical Society
dc.relation.pages742-836
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleMinimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes
dc.typeJournalArticle
dspace.entity.typePublication