On the measure and the structure of the free boundary of the lower dimensional obstacle problem

From MaRDI portal
Publication:1783948

DOI10.1007/s00205-018-1242-4zbMath1405.35257arXiv1703.00678OpenAlexW3104625821MaRDI QIDQ1783948

Matteo Focardi, Emanuele Nunzio Spadaro

Publication date: 21 September 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00678




Related Items

Generic regularity of free boundaries for the obstacle problemRegularity of solutions to nonlinear thin and boundary obstacle problemsBoundary unique continuation on \(C^1\)-dini domains and the size of the singular setThe local structure of the free boundary in the fractional obstacle problemThe thin obstacle problem for some variable coefficient degenerate elliptic operatorsFree boundary regularity for almost every solution to the Signorini problemRegularity of free boundaries in obstacle problemsHow a minimal surface leaves a thin obstacleGeneric regularity of free boundaries for the thin obstacle problemContact points with integer frequencies in the thin obstacle problemAn epiperimetric inequality for the lower dimensional obstacle problemOptimal regularity for supercritical parabolic obstacle problemsFree boundary partial regularity in the thin obstacle problemOn the fine structure of the free boundary for the classical obstacle problemObstacle problems and free boundaries: an overviewAlmost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problemRectifiability and upper Minkowski bounds for singularities of harmonic \(Q\)-valued mapsStructure and regularity of the singular set in the obstacle problem for the fractional LaplacianObstacle problems for integro-differential operators: higher regularity of free boundariesAlmost minimizers for the thin obstacle problemUnnamed ItemAn epiperimetric inequality approach to the parabolic Signorini problemRegularity of free boundaries in obstacle problems for integro-differential operatorsFractional thoughtsThe regular free boundary in the thin obstacle problem for degenerate parabolic equationsThe thin obstacle problem: a surveyOn the fine regularity of the singular set in the nonlinear obstacle problemHalf-space solutions with \(7/2\) frequency in the thin obstacle problem


Uses Software


Cites Work