Energy quantization for biharmonic maps

DOI10.1515/acv-2012-0105zbMath1275.35098arXiv1112.5393OpenAlexW2408726903MaRDI QIDQ4921702

Paul Laurain, Tristan Rivière

Publication date: 13 May 2013

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5393

zbMATH Keywords

conservation lawsharmonic mapsfourth order elliptic systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Higher-order elliptic systems (35J48)

Related Items (13)

Neck analysis for biharmonic maps ⋮ \(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target ⋮ Neck analysis of extrinsic polyharmonic maps ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Doubling annulus Pohožaev type identity and applications to approximate biharmonic maps ⋮ Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ Compactness and bubble analysis for 1/2-harmonic maps ⋮ A compactness result for polyharmonic maps in the critical dimension ⋮ On minimizing extrinsic biharmonic maps ⋮ Problem analysis according to invariants ⋮ \(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions

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