The fractional Cheeger problem
The fractional Cheeger problem Page 1 Interfaces and Free Boundaries 16 (2014), 419–458
DOI 10.4171/IFB/325 The fractional Cheeger problem L. BRASCO Aix-Marseille Université …
DOI 10.4171/IFB/325 The fractional Cheeger problem L. BRASCO Aix-Marseille Université …
Quantitative flatness results and -estimates for stable nonlocal minimal surfaces
We establish quantitative properties of minimizers and stable sets for nonlocal interaction
functionals, including the $ s $-fractional perimeter as a particular case. On the one hand …
functionals, including the $ s $-fractional perimeter as a particular case. On the one hand …
Nonlocal minimal surfaces: recent developments, applications, and future directions
J Serra - SeMA Journal, 2024 - Springer
Nonlocal minimal surfaces: recent developments, applications, and future directions | SeMA
Journal Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
Journal Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
Magnetic BV-functions and the Bourgain–Brezis–Mironescu formula
A Pinamonti, M Squassina, E Vecchi - Advances in Calculus of …, 2019 - degruyter.com
Magnetic BV-functions and the Bourgain–Brezis–Mironescu formula Skip to content Should
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …
Improvement of flatness for nonlocal phase transitions
S Dipierro, J Serra, E Valdinoci - American Journal of Mathematics, 2020 - muse.jhu.edu
We establish an improvement of flatness result for critical points of Ginzburg-Landau
energies with long-range interactions. It applies in particular to solutions of $(-\Delta)^{s/2} …
energies with long-range interactions. It applies in particular to solutions of $(-\Delta)^{s/2} …
[图书][B] Discrete variational problems with interfaces
R Alicandro, A Braides, M Cicalese, M Solci - 2023 - books.google.com
Many materials can be modeled either as discrete systems or as continua, depending on the
scale. At intermediate scales it is necessary to understand the transition from discrete to …
scale. At intermediate scales it is necessary to understand the transition from discrete to …
Affine fractional Sobolev and isoperimetric inequalities
Sharp affine fractional Sobolev inequalities for functions on $\mathbb R^ n $ are
established. For each $0< s< 1$, the new inequalities are significantly stronger than (and …
established. For each $0< s< 1$, the new inequalities are significantly stronger than (and …
[HTML][HTML] Anisotropic fractional Sobolev norms
M Ludwig - Advances in Mathematics, 2014 - Elsevier
Abstract Bourgain, Brezis & Mironescu showed that (with suitable scaling) the fractional
Sobolev s-seminorm of a function f∈ W 1, p (R n) converges to the Sobolev seminorm of f as …
Sobolev s-seminorm of a function f∈ W 1, p (R n) converges to the Sobolev seminorm of f as …
Nonlocal bounded variations with applications
H Antil, H Díaz, T Jing, A Schikorra - SIAM Journal on Mathematical Analysis, 2024 - SIAM
Motivated by problems where jumps across lower dimensional subsets and sharp transitions
across interfaces are of interest, this paper studies the properties of fractional bounded …
across interfaces are of interest, this paper studies the properties of fractional bounded …
Fractional Laplacians, perimeters and heat semigroups in Carnot groups
F Ferrara, M Miranda, D Pallara, A Pinamonti… - … SYSTEMS. SERIES S, 2018 - sfera.unife.it
FRACTIONAL LAPLACIANS, PERIMETERS AND HEAT SEMIGROUPS IN CARNOT GROUPS
Fausto Ferrari Michele Miranda Jr. Diego Pallara Andrea P Page 1 Manuscript submitted to …
Fausto Ferrari Michele Miranda Jr. Diego Pallara Andrea P Page 1 Manuscript submitted to …