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For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recently given. Here, we develop alternative notions, special cases of which apply to surfaces with boundary. Our… Click to show full abstract
For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recently given. Here, we develop alternative notions, special cases of which apply to surfaces with boundary. Our main tool is a new fractional or nonlocal area functional for compact surfaces.
Keywords:
without boundary;
nonlocal curvatures;
surfaces without;
curvatures surfaces;
boundary nonlocal
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!