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

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