The Caffarelli Alternative in Measure for the Nondivergence Form Elliptic Obstacle Problem with Principal Coefficients in VMO

DOI10.1080/03605302.2013.823988zbMath1287.35104arXiv1207.5470OpenAlexW2099566194MaRDI QIDQ5413815

Ivan Blank, Kubrom Teka

Publication date: 2 May 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5470

zbMATH Keywords

free boundary problemobstacle problemVMOnondivergence

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Free boundary problems for PDEs (35R35)

Related Items (6)

Classification of irregular free boundary points for non-divergence type equations with discontinuous coefficients ⋮ Geometry of mean value sets for general divergence form uniformly elliptic operators ⋮ Sharp regularity for degenerate obstacle type problems: a geometric approach ⋮ The obstacle problem for a class of degenerate fully nonlinear operators ⋮ Mean value theorems for Riemannian manifolds via the obstacle problem ⋮ Reifenberg flatness of free boundaries in obstacle problems with VMO ingredients

Cites Work

• Unnamed Item
• Interior a priori estimates for solutions of fully nonlinear equations
• \(W^{2,p}\)- and \(W^{1,p}\)-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
• The regularity of free boundaries in higher dimensions
• The obstacle problem revisited
• Sopra una classe di equazioni ellittiche a coefficienti misurabili
• Parabolic and Elliptic Equations with VMO Coefficients
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Elliptic Partial Differential Equations of Second Order
• Sharp results for the regularity and stability of the free boundary in the obstacle problem

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