Motion of level sets by inverse anisotropic mean curvature

被引：0

作者：

Della Pietra, Francesco ^{[1
]}

Gavitone, Nunzia ^{[1
]}

Xia, Chao ^{[2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2023年 / 31卷 / 01期

关键词：

WULFF SHAPE; FLOW; HYPERSURFACES; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the weak formulation of the inverse anisotropic mean curvature flow, in the spirit of HuiskenIlmanen [15]. By using approximation method involving Finsler-p-Laplacian, we prove the existence and uniqueness of weak solutions.

引用

页码：97 / 118

页数：22

共 50 条

[41] The inverse mean curvature flow and p-harmonic functions
Moser, Roger
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2007, 9 (01) : 77 - 83
[42] MOTION OF THREE-DIMENSIONAL ELASTIC FILMS BY ANISOTROPIC SURFACE DIFFUSION WITH CURVATURE REGULARIZATION
Fonseca, Irene
Fusco, Nicola
Leoni, Giovanni
Morini, Massimiliano
ANALYSIS & PDE, 2015, 8 (02): : 373 - 423
[43] Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume
A. Gervasio Colares
J. Floriano da Silva
Mathematische Zeitschrift, 2013, 275 : 595 - 623
[44] Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume
Gervasio Colares, A.
Floriano da Silva, J.
MATHEMATISCHE ZEITSCHRIFT, 2013, 275 (1-2) : 595 - 623
[45] A LEVEL SET CRYSTALLINE MEAN CURVATURE FLOW OF SURFACES
Giga, Yoshikazu
Pozar, Norbert
ADVANCES IN DIFFERENTIAL EQUATIONS, 2016, 21 (7-8) : 631 - 698
[46] Level set approach for fractional mean curvature flows
Imbert, Cyril
INTERFACES AND FREE BOUNDARIES, 2009, 11 (01) : 153 - 176
[47] Surfaces of constant anisotropic mean curvature with free boundary in revolution surfaces
Barbosa, Ezequiel
Silvam, Lucas Carvalho
MANUSCRIPTA MATHEMATICA, 2022, 169 (3-4) : 439 - 459
[48] Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
Bellettini, Giovanni
Chambolle, Antonin
Kholmatov, Shokhrukh
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (04) : 1135 - 1170
[49] EXISTENCE OF SELF-SIMILAR SOLUTIONS OF THE INVERSE MEAN CURVATURE FLOW
Hui, Kin Ming
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (02) : 863 - 880
[50] A NEW MONOTONE QUANTITY ALONG THE INVERSE MEAN CURVATURE FLOW IN Rn
Kwong, Kwok-Kun
Miao, Pengzi
PACIFIC JOURNAL OF MATHEMATICS, 2014, 267 (02) : 417 - 422

← 1 2 3 4 5 →