Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
• apa
• ieee
• modern-language-association-8th-edition
• vancouver
• Annat format
Fler format
Språk
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Annat språk
Fler språk
Utmatningsformat
• html
• text
• asciidoc
• rtf
Regularity of a free boundary at the infinity point
KTH, Tidigare Institutioner                               , Matematik.ORCID-id: 0000-0002-1316-7913
2000 (Engelska)Ingår i: Communications in Partial Differential Equations, ISSN 0360-5302, E-ISSN 1532-4133, Vol. 25, nr 12-Nov, s. 2055-2086Artikel i tidskrift (Refereegranskat) Published
##### Abstract [en]

Suppose there is a nonnegative function u and an open set Ohm subset of R-n(n greater than or equal to 3), satisfying Deltau = chi (Ohm) in B-r(e), u = \delu\ = 0 on B-r(e)\Ohm, where B-r(e) = {x : \x\ > r}. Under a certain thickness condition on R-n\Ohm, we prove that the boundary of {x:x/\x\(2) is an element of Ohm} is a graph of a C-1 function in a neighborhood of the origin. As a by-product of the method of the proof, we also obtain the following result: Replace chi (Ohm) by f chi (Ohm), with a certain assumptions on f. Then for any solution u which is asymptotically nonnegative at infinity, there holds lim(r-->infinity) (\Br\)/(\Ohm boolean AND Br\) is an element of {1/2,1}.

##### Ort, förlag, år, upplaga, sidor
2000. Vol. 25, nr 12-Nov, s. 2055-2086
##### Nyckelord [en]
unbounded free boundary, regularity at infinity, cone problem, null quadrature domains, dimensions
##### Identifikatorer
ISI: 000165109800003OAI: oai:DiVA.org:kth-20143DiVA, id: diva2:338836

#### Open Access i DiVA

Fulltext saknas i DiVA

#### Personposter BETA

Shahgholian, Henrik.

#### Sök vidare i DiVA

##### Av författaren/redaktören
Shahgholian, Henrik.
Matematik
##### I samma tidskrift
Communications in Partial Differential Equations

urn-nbn

#### Altmetricpoäng

urn-nbn
Totalt: 43 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
• apa
• ieee
• modern-language-association-8th-edition
• vancouver
• Annat format
Fler format
Språk
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Annat språk
Fler språk
Utmatningsformat
• html
• text
• asciidoc
• rtf