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
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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
Boundary regularity for polyharmonic maps in the critical dimension
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 u ∈ W k,2(Ω, N) is smooth near the boundary ∂Ω.
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