Name
Abstract | ||
|---|---|---|
In this paper we consider the functional E-p,E-lambda(Omega) := f dist(p)(x, partial derivative Omega) dx + lambda H-1(partial derivative Omega)/H-2(Omega). Here p >= 1, lambda > 0 are given parameters, the unknown varies among compact, convex, Hausdorff two-dimensional sets of R-2, partial derivative Omega denotes the boundary of Omega, and dist(x, partial derivative Omega) := inf(y is an element of partial derivative Omega) |x - y|. The integral term f(Omega) dist(p)(x, partial derivative Omega) dx quantifies the "easiness" for points in Omega to reach the boundary, while H-1(partial derivative Omega)/H-2(Omega) is the perimeter-to-area ratio. The main aim is to prove existence and C-1,C-1- regularity of minimizers of E-p,E-lambda. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1137/21M1422987 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | DocType | Volume |
perimeter-to-area ratio, regularity | Journal | 54 |
Issue | ISSN | Citations |
3 | 0036-1410 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qiang Du | 1 | 1692 | 188.27 |
| Xin Yang Lu | 2 | 0 | 0.34 |
| Chong Wang | 3 | 0 | 0.34 |