Perturbation formula for the two-phase membrane problem

DOI10.1186/1687-1847-2011-19zbMath1263.74033OpenAlexW2161388154WikidataQ59269848 ScholiaQ59269848MaRDI QIDQ1951024

Farid Bozorgnia

Publication date: 28 May 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-19

zbMATH Keywords

perturbationfree boundary problemstwo-phase membrane

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Membranes (74K15)

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Cites Work

• Numerical solutions of a two-phase membrane problem
• On the two-phase membrane problem with coefficients below the Lipschitz threshold
• Global solutions of an obstacle-problem-like equation with two phases
• The two-phase membrane problem--an intersection-comparison approach to the regularity at branch points
• Perturbation Formula for Regular Free Boundaries in Elliptic and Parabolic Obstacle Problems
• Sharp results for the regularity and stability of the free boundary in the obstacle problem
• An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary
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