The Top Dimensional Singular Set $\text{sing}_{*}u$
Owen Drummond
TL;DR
This survey explores the properties and geometric aspects of the top dimensional singular set in variational problems, highlighting key theorems and its relation to homogeneous minimizers.
Contribution
It provides a comprehensive overview of the top dimensional singular set, including new insights into its geometric properties and connections to homogeneous degree zero minimizers.
Findings
Characterization of the top dimensional singular set
Theorems relating to its geometric structure
Connections to homogeneous degree zero minimizers
Abstract
In this survey, we examine the properties of the top dimensional singular set , including several theorems, geometric properties, and relation to homogeneous degree zero minimizers.
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Taxonomy
TopicsMathematics and Applications · Computational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques