\(C^{1,1}\)-regularity of constrained area minimizing hypersurfaces

DOI10.1016/0022-0396(91)90104-HzbMath0743.49016MaRDI QIDQ1181696

S. Singh

Publication date: 27 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

obstacle problemfinite perimeter

Mathematics Subject Classification ID

Variational inequalities (49J40) Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60)

Related Items (7)

Minkowski inequalities via nonlinear potential theory ⋮ New integral estimates in substatic Riemannian manifolds and the Alexandrov theorem ⋮ Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds ⋮ The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary ⋮ Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ Capacity inequalities and rigidity of cornered/conical manifolds ⋮ The anisotropic \(p\)-capacity and the anisotropic Minkowski inequality

Cites Work

• The regularity of free boundaries in higher dimensions
• The Constrained Least Gradient Problem in R n
• Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
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