The Analysis of Willmore Surfaces and Its Generalizations in Higher Dimensions

Author(s)

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Abstract

We review recent progress concerning the analysis of Lagrangians on immersions into $\mathbb{R}^d$ depending on the first and second fundamental forms and their covariant derivatives.

Keywords:

Conformally invariant variational problems higher order elliptic systems Sobolev immersions Willmore surfaces minimal surfaces integrability by compensation concentration compactness

Author Biographies

  • Tian Lan
    Department of Mathematics, ETH, Zürich 8092, Switzerland
  • Dorian Martino
    Department of Mathematics, ETH, Zürich 8092, Switzerland
  • Tristan Rivière

    Department of Mathematics, ETH, Zürich 8092, Switzerland

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DOI

10.4208/jms.v59n1.26.05

How to Cite

The Analysis of Willmore Surfaces and Its Generalizations in Higher Dimensions. (2026). Journal of Mathematical Study, 59(1), 80-188. https://doi.org/10.4208/jms.v59n1.26.05