The penalized obstacle problem. II: \(C^{1,\alpha}\) regularity of level sets

DOI10.1215/S0012-7094-93-06903-7zbMath0893.49027MaRDI QIDQ1210433

Juan C. Redondo

Publication date: 16 August 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

regularitylevel setspenalized obstacle problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Regularity of solutions in optimal control (49N60)

Cites Work

• The penalized obstacle problem. I: Lipschitz regularity of level sets
• The regularity of free boundaries in higher dimensions
• A theorem of real analysis and its application to free boundary problems
• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
• Compactness methods in free boundary problems
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• On the regularity of the solution of a variational inequality
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