Boundary regularity for polyharmonic maps in the critical dimension
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Publication:3624550
DOI10.1515/ACV.2009.001zbMath1165.31004OpenAlexW2131517535MaRDI QIDQ3624550
Publication date: 30 April 2009
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv.2009.001
Boundary value problems for higher-order elliptic equations (35J40) Boundary behavior of harmonic functions in higher dimensions (31B25) Variational methods for higher-order elliptic equations (35J35)
Related Items (13)
Partial regularity of polyharmonic maps to targets of sufficiently simple topology ⋮ \(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary ⋮ Existence of extrinsic polyharmonic maps in critical dimensions ⋮ Blow-up analysis and boundary regularity for variationally biharmonic maps ⋮ Boundary partial regularity for a class of biharmonic maps ⋮ Well-posedness for the heat flow of polyharmonic maps with rough initial data ⋮ Regularity of solutions for a fourth‐order elliptic system via Conservation law ⋮ 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 ⋮ Regularity of weak solutions to higher order elliptic systems in critical dimensions
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