DOI10.1007/978-3-030-06243-9zbMath1446.49001OpenAlexW4285057617MaRDI QIDQ4623478
Julio D. Rossi, J. Toledo, José M. Mazón Ruiz
Publication date: 15 February 2019
Published in: Frontiers in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-06243-9
Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)
Minimal surfaces and optimization (49Q05)
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)
Variational problems in a geometric measure-theoretic setting (49Q20)
Length, area, volume, other geometric measure theory (28A75)
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Research exposition (monographs, survey articles) pertaining to measure and integration (28-02)
Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)
Integro-partial differential equations (35R09)
Gradient flows in metric random walk spaces,
\((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces,
The Cheeger cut and Cheeger problem in metric graphs,
Asymptotics of non-local perimeters,
Local Hölder regularity of minimizers for nonlocal variational problems,
Boundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and Nochetto,
On the asymptotic behaviour of nonlocal perimeters,
Rigidity for measurable sets,
The Cheeger cut and Cheeger problem in metric measure spaces,
Asymptotic expansion of the nonlocal heat content,
Gamma-convergence of Gaussian fractional perimeter,
Nonlocal Perimeters and Curvature Flows on Graphs with Applications in Image Processing and High-Dimensional Data Classification,
The divergence theorem and nonlocal counterparts,
Torsional Rigidity in Random Walk Spaces,
The Cheeger problem in abstract measure spaces,
A class of elliptic equations involving nonlocal integrodifferential operators with sign-changing weight functions,
The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows,
Cheeger sets for rotationally symmetric planar convex bodies,
The heat content for nonlocal diffusion with non-singular kernels,
The total variation flow in metric random walk spaces,
Local and nonlocal 1-Laplacian in Carnot groups,
Halfspaces minimise nonlocal perimeter: a proof via calibrations,
Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups,
Least gradient functions in metric random walk spaces,
(Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property,
Alexandrov theorem for general nonlocal curvatures: the geometric impact of the kernel
