On a class of stationary loops on SO(n) $\mathbf{SO}(n)$ and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint

On a class of stationary loops on SO(n) $\mathbf{SO}(n)$ and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint

Abstract In this paper we consider the second order nonlinear elliptic system in divergence and variational form {div[Fξ(|x|,|∇u|2)∇u]=[cof∇u]∇Pin U,det∇u=1in U,u=φon ∂U, $$\begin{aligned} \textstyle\begin{cases} \operatorname{div}[ F_{\xi }(\vert x\vert ,\vert \nabla u\vert ^{2})\nabla u ] = [ \ope...

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Bibliographic Details
Main Authors: George Morrison, Ali Taheri
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Boundary Value Problems
Subjects:
Nonlinear elliptic systems
Incompressible twists
Geodesics on SO ( n ) $\mathbf{SO}(n)$
Multiple stationary loops
Curl-free vector fields
Weighted Dirichlet type Lagrangians
Online Access:http://link.springer.com/article/10.1186/s13661-018-1047-2

Internet

http://link.springer.com/article/10.1186/s13661-018-1047-2

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