The penalized obstacle problem. I: Lipschitz regularity of level sets

DOI10.1215/S0012-7094-93-06902-5zbMath0893.49026OpenAlexW1505558871MaRDI QIDQ1210432

Juan C. Redondo

Publication date: 16 August 1998

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-06902-5

zbMATH Keywords

level setsLipschitz regularitypenalized obstacle problem

Mathematics Subject Classification ID

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

Related Items

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

Cites Work

• On the Harnack inequality for linear elliptic equations
• The regularity of free boundaries in higher dimensions
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item