NSF PAR Search | NSF Public Access Repository

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

An energy model for harmonic functions with junctions

https://doi.org/10.1016/j.aim.2024.109682

De_Silva, D; Savin, O (June 2024, Advances in Mathematics)

Full Text Available
The Alt–Phillips functional for negative powers

https://doi.org/10.1112/blms.12893

De_Silva, D; Savin, O (December 2023, Bulletin of the London Mathematical Society)

Abstract We develop the free boundary regularity for nonnegative minimizers of the Alt–Phillips functional for negative power potentialsand establish a ‐convergence result of the rescaled energies to the perimeter functional as .
more » « less
Full Text Available
Perturbative estimates for the one-phase Stefan problem

https://doi.org/10.1007/s00526-021-02003-8

De Silva, D.; Forcillo, N.; Savin, O. (December 2021, Calculus of Variations and Partial Differential Equations)

Full Text Available
Free boundary regularity in the triple membrane problem

Savin, O.; Yu, H. (August 2021, Ars inveniendi analytica)

We investigate the regularity of the free boundaries in the three elastic membranes problem. We show that the two free boundaries corresponding to the coincidence regions between consecutive membranes are C1,log-hypersurfaces near a regular intersection point. We also study two types of singular intersections. The first type of singular points are locally covered by a C1,alpha-hypersurface. The second type of singular points stratify and each stratum is locally covered by a C1-manifold.
more » « less
Full Text Available

Search for: All records