BIFURCATION IN A VARIATIONAL PROBLEM ON A SURFACE WITH A CONSTRAINT

被引：0

作者：

Vyridis, P. ^{[1
]}

机构：

[1] Kalamata Technol Educ Inst, Dept Informat & Telecommun, Branch Sparta, Sparta 23100, Greece

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2011年 / 2卷 / 01期

关键词：

Calculus of Variations; Bifurcation points; Critical points; Boundary Value Problem for a PDE with mean curvature;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a variational problem on a surface under a constraint of geometrical character. Necessary and sufficient conditions for the existence of bifurcation points are provided. In local coordinates the problem corresponds to a quasilinear elliptic boundary value problem. The problem can be considered as a physical model for several applications referring to continuum medium and membranes.

引用

页码：1 / 10

页数：10

共 50 条

[1] Bifurcation in a variational problem on a surface with a distance constraint
Vyridis, Panayotis
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (03): : 160 - 167
[2] VARIATIONAL INEQUALITY IN A CURL CONSTRAINT PROBLEM
Aramaki, Junichi
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (08) : 1409 - 1425
[3] VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM
Jung, Tacksun
Choi, Q-Heung
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (04) : 1149 - 1167
[4] Overlapping constraint for variational surface reconstruction
Aanæs, H
Solem, JE
IMAGE ANALYSIS, PROCEEDINGS, 2005, 3540 : 551 - 556
[5] A constraint variational problem arising in stellar dynamics
Hadzic, Mahir
QUARTERLY OF APPLIED MATHEMATICS, 2007, 65 (01) : 145 - 153
[6] VARIATIONAL INEQUALITY PROBLEM WITH DC PROGRAMMING AS CONSTRAINT
Chuang, Chih-Sheng
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (10) : 2335 - 2350
[7] INTEGRATION OF CORRESPONDENCES AND A VARIATIONAL PROBLEM WITH OPERATOR CONSTRAINT
MARUYAMA, T
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1980, 56 (05) : 225 - 230
[8] Bifurcation in a quasilinear variational problem on a one-dimensional manifold
Vyridis P.
Journal of Mathematical Sciences, 2001, 106 (3) : 2919 - 2924
[9] VARIATIONAL APPROACH TO LIFTING SURFACE PROBLEM
SHEN, SF
CHAN, STK
AIAA JOURNAL, 1973, 11 (10) : 1390 - 1395
[10] A Variational Method for Estimating Surface Fluxes with Mass Conservation Constraint
Li, Sen
Zhong, Zhong
Guo, Weidong
Lu, Wei
JOURNAL OF APPLIED METEOROLOGY AND CLIMATOLOGY, 2014, 53 (01) : 99 - 116

← 1 2 3 4 5 →