Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board: Armstrong, Scott N. / Astala, Kari / Colding, Tobias / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Finster, Felix / Gianazza, Ugo / Gursky, Matthew / Hardt, Robert / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / McCann, Robert / Mingione, Giuseppe / Nystrom, Kaj / Pacard, Frank / Preiss, David / Riviére, Tristan / Schaetzle, Reiner / Silvestre, Luis

4 Issues per year

IMPACT FACTOR 2016: 1.182

CiteScore 2016: 0.78

SCImago Journal Rank (SJR) 2016: 1.277
Source Normalized Impact per Paper (SNIP) 2016: 0.881

Mathematical Citation Quotient (MCQ) 2016: 0.83

See all formats and pricing
More options …

Boundary regularity for polyharmonic maps in the critical dimension

Tobias Lamm
  • Max-Planck-Institute for Gravitational Physics, Am Mühlenberg 1, 14476 Golm, Germany. E-mail:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Changyou Wang
Published Online: 2009-02-03 | DOI: https://doi.org/10.1515/ACV.2009.001


We consider the Dirichlet problem for intrinsic and extrinsic k-polyharmonic maps from a bounded, smooth domain Ω ⊆ ℝ2k to a compact, smooth Riemannian manifold N ⊆ ℝ l without boundary. For any smooth boundary data, we show that any k-polyharmonic map uW k,2(Ω, N) is smooth near the boundary ∂Ω.

Keywords.: Polyharmonic maps; boundary regularity

About the article

Received: 2008-03-13

Revised: 2008-06-26

Published Online: 2009-02-03

Published in Print: 2009-02-01

Citation Information: Advances in Calculus of Variations, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/ACV.2009.001.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Tao Huang, Lei Liu, Yong Luo, and Changyou Wang
Journal of Elliptic and Parabolic Equations, 2016, Volume 2, Number 1-2, Page 1
Matthew K. Cooper
Calculus of Variations and Partial Differential Equations, 2015, Volume 54, Number 3, Page 2895
Jay Hineman, Tao Huang, and Chang-You Wang
Calculus of Variations and Partial Differential Equations, 2014, Volume 50, Number 3-4, Page 491
Huajun Gong, Tobias Lamm, and Changyou Wang
Calculus of Variations and Partial Differential Equations, 2012, Volume 45, Number 1-2, Page 165
Tao Huang and Changyou Wang
Advances in Calculus of Variations, 2011, Volume 4, Number 2

Comments (0)

Please log in or register to comment.
Log in