Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
C-1,C-1 regularity in semilinear elliptic problems
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-1316-7913
2003 (English)In: Communications on Pure and Applied Mathematics, ISSN 0010-3640, E-ISSN 1097-0312, Vol. 56, no 2, 278-281 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we give an astonishingly simple proof of C-1,C-1 regularity in elliptic theory. Our technique yields both new simple proofs of old results as well as new optimal results. The setting we'll consider is the following. Let it be a solution to Deltau = f (x, u) in B, where B is the unit ball in R-n, f (x, t) is a bounded Lipschitz function in x, and f(t)' is bounded from below. Then we prove that u is an element of C-1,C-1 (B-1/2). Our method is a simple corollary to a recent monotonicity argument due to Caffarelli, Jerison, and Kenig.

Place, publisher, year, edition, pages
2003. Vol. 56, no 2, 278-281 p.
Identifiers
URN: urn:nbn:se:kth:diva-22140ISI: 000180052900005OAI: oai:DiVA.org:kth-22140DiVA: diva2:340838
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

Open Access in DiVA

No full text

Authority records BETA

Shahgholian, Henrik

Search in DiVA

By author/editor
Shahgholian, Henrik
By organisation
Mathematics
In the same journal
Communications on Pure and Applied Mathematics

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 20 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf