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Estimates for the topological degree and related topics

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Abstract

This is a survey paper on estimates for the topological degree and related topics which range from the characterizations of Sobolev spaces and BV functions to the Jacobian determinant and nonlocal filter problems in Image Processing. These results are obtained jointly with Bourgain and Brezis. Several open questions are mentioned.

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  1. École Polytechnique Fédérale de Lausanne, SB MATHAA CAMA, Station 8, CH-1015, Lausanne, Switzerland

    Hoai-Minh Nguyen

  2. School of Mathematics, University of Minnesota, Toulouse, MN, 55455, USA

    Hoai-Minh Nguyen

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To Haïm Brezis on his 70th birthday with esteem

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Nguyen, HM. Estimates for the topological degree and related topics. J. Fixed Point Theory Appl. 15, 185–215 (2014). https://doi.org/10.1007/s11784-014-0182-3

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