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For a strictly convex set K ⊂ R of class C we consider its associated sub-Finsler K-perimeter |∂E|K in H 1 and the prescribed mean curvature functional |∂E|K − ∫… Click to show full abstract
For a strictly convex set K ⊂ R of class C we consider its associated sub-Finsler K-perimeter |∂E|K in H 1 and the prescribed mean curvature functional |∂E|K − ∫ E f associated to a function f . Given a critical set for this functional with Euclidean Lipschitz and intrinsic regular boundary, we prove that their characteristic curves are of class C and that this regularity is optimal. The result holds in particular when the boundary of E is of class C.
Keywords:
lipschitz;
regularity;
mean curvature;
sub finsler
Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!