Optimal regularity at the free boundary for the infinity obstacle problem

被引：19

作者：

Rossi, J. D. ^{[1
]}

Teixeira, E. V. ^{[2
]}

Urbano, J. M. ^{[3
]}

机构：

[1] Univ Alicante, Dept Math Anal, E-03080 Alicante, Spain

[2] Univ Fed Ceara, BR-60455760 Fortaleza, CE, Brazil

[3] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

来源：

INTERFACES AND FREE BOUNDARIES | 2015年 / 17卷 / 03期

关键词：

Obstacle problem; infinity Laplacian; free boundary; optimal regularity; TUG-OF-WAR; LAPLACIAN;

D O I：

10.4171/IFB/347

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp C-1,C-1/3-regularity of the solutions at the free boundary.

引用

页码：381 / 398

页数：18

共 50 条

[1] The variable coefficient thin obstacle problem: Optimal regularity and regularity of the regular free boundary
Koch, Herbert
Ruland, Angkana
Shi, Wenhui
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2017, 34 (04): : 845 - 897
[2] Regularity of the free boundary in the biharmonic obstacle problem
Gohar Aleksanyan
[J]. Calculus of Variations and Partial Differential Equations, 2019, 58
[3] Regularity of the free boundary in the biharmonic obstacle problem
Aleksanyan, Gohar
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (06)
[4] Pointwise regularity of the free boundary for the parabolic obstacle problem
Lindgren, Erik
Monneau, Regis
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (01) : 299 - 347
[5] Pointwise regularity of the free boundary for the parabolic obstacle problem
Erik Lindgren
Régis Monneau
[J]. Calculus of Variations and Partial Differential Equations, 2015, 54 : 299 - 347
[6] Free boundary partial regularity in the thin obstacle problem
Franceschini, Federico
Serra, Joaquim
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2024, 77 (01) : 630 - 669
[7] Free Boundary Regularity in the Parabolic Fractional Obstacle Problem
Barrios, Begona
Figalli, Alessio
Ros-Oton, Xavier
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2018, 71 (10) : 2129 - 2159
[8] OPTIMAL REGULARITY AND FREE BOUNDARY REGULARITY FOR THE SIGNORINI PROBLEM
Andersson, J.
[J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2013, 24 (03) : 371 - 386
[9] Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian
Jhaveri, Yash
Neumayer, Robin
[J]. ADVANCES IN MATHEMATICS, 2017, 311 : 748 - 795
[10] Regularity of the free boundary in a neighborhood of a contact point in the obstacle problem
E. V. Zhelezina
[J]. Journal of Mathematical Sciences, 2000, 101 (2) : 2938 - 2940

← 1 2 3 4 5 →