Boundary partial regularity for a class of biharmonic maps

DOI10.1007/S00526-011-0455-2zbMath1259.58003arXiv1105.0384OpenAlexW2010161117MaRDI QIDQ453747

Tobias Lamm, Changyou Wang, HuaJun Gong

Publication date: 27 September 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0384

zbMATH Keywords

biharmonic mapboundary monotonicity inequalityboundary partial regulaityHessian energy functionalstationary biharmonic map

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Harmonic maps, etc. (58E20) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (7)

A boundary monotonicity inequality for variationally biharmonic maps and applications to regularity theory ⋮ Blow-up analysis and boundary regularity for variationally biharmonic maps ⋮ Regularity of solutions for a fourth‐order elliptic system via Conservation law ⋮ Regularity and relaxed problems of minimizing biharmonic maps into spheres ⋮ Regularity and uniqueness of a class of biharmonic map heat flows ⋮ Boundary regularity for minimizing biharmonic maps ⋮ Higher order intrinsic weak differentiability and Sobolev spaces between manifolds

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