Geodesic
Invitation to $H$-systems in higher dimensions: known results, new facts, and related open problems
Armin Schikorra1 orcid ; Paweł Strzelecki2
1Albert-Ludwigs-Universität Freiburg, Germany
2University of Warsaw, Poland
EMS surveys in mathematical sciences, Tome 4 (2017) no. 1, pp. 21-42

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DOI

In this paper, we discuss two well-known open problems in the regularity theory for nonlinear, conformally invariant elliptic systems in dimensions n≥3, with a critical nonlinearity: H-systems (equations of hypersurfaces of prescribed mean curvature) and n-harmonic maps into compact Riemannian manifolds.
DOI : 10.4171/emss/4-1-2
Classification : 35-XX, 58-XX
Mots-clés : n-Laplacian, regularity of solutions, H-system

Armin Schikorra  1   ; Paweł Strzelecki  2

1 Albert-Ludwigs-Universität Freiburg, Germany
2 University of Warsaw, Poland 
Armin Schikorra; Paweł Strzelecki. Invitation to $H$-systems in higher dimensions: known results, new facts, and related open problems. EMS surveys in mathematical sciences, Tome 4 (2017) no. 1, pp. 21-42. doi: 10.4171/emss/4-1-2
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     title = {Invitation to $H$-systems in higher dimensions: known results, new facts, and related open problems},
     journal = {EMS surveys in mathematical sciences},
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     year = {2017},
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