Properties of mean value sets: angle conditions, blowup solutions, and nonconvexity

DOI10.1007/S11118-018-9741-3zbMath1437.35202arXiv1801.06627OpenAlexW2964266181WikidataQ129031064 ScholiaQ129031064MaRDI QIDQ2302351

Niles Armstrong

Publication date: 26 February 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06627

zbMATH Keywords

divergence form elliptic PDEmean value sets

Mathematics Subject Classification ID

Second-order elliptic equations (35J15)

Related Items (2)

A Nonlinear Mean Value Property for Monge-Amp\`ere ⋮ Nondegenerate motion of singular points in obstacle problems with varying data

Cites Work

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• The mean value theorem and basic properties of the obstacle problem for divergence form elliptic operators
• Monotonicity formulas for obstacle problems with Lipschitz coefficients
• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Geometry of mean value sets for general divergence form uniformly elliptic operators
• A homogeneity improvement approach to the obstacle problem
• Mean value theorems for Riemannian manifolds via the obstacle problem
• Reifenberg flatness of free boundaries in obstacle problems with VMO ingredients
• The classical obstacle problem with coefficients in fractional Sobolev spaces
• On the Mean-Value Property of Harmonic Functions

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