Invitation to \(H\)-systems in higher dimensions: known results, new facts, and related open problems

DOI10.4171/EMSS/4-1-2zbMath1379.35154arXiv1606.07891OpenAlexW2963320291MaRDI QIDQ2363091

Armin Schikorra, Paweł Strzelecki

Publication date: 13 July 2017

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07891

zbMATH Keywords

\(H\)-systemregularity of solutions\(n\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Harmonic maps, etc. (58E20) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (7)

On the H-systems in higher dimension ⋮ On regularity theory for \(n/p\)-harmonic maps into manifolds ⋮ Regularity for solutions of \(H\)-systems and \(n\)-harmonic maps with \(n/2\) square integrable derivatives ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Fractional div-curl quantities and applications to nonlocal geometric equations ⋮ Regularity of the \(m\)-symphonic map ⋮ Three examples of sharp commutator estimates via harmonic extensions

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