scientific article; zbMATH DE number 6303100
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Publication:5420079
zbMath1303.58004MaRDI QIDQ5420079
Publication date: 11 June 2014
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regularityconservation lawsharmonic mapsprescribed curvature equationconformally invariant variational problemsintegration by compensation
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20) Quasilinear elliptic equations with mean curvature operator (35J93)
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A fractional version of Rivière's \(\mathrm{GL(n)}\)-gauge ⋮ Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint ⋮ The Willmore conjecture ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ A resolution of the Poisson problem for elastic plates ⋮ On optimal Hölder regularity of solutions to the equation \(\Delta u+b\cdot \nabla u=0\) in two dimensions ⋮ Regularity of weak solutions to higher order elliptic systems in critical dimensions ⋮ \(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions
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