Global Continuation in Displacement Problems of Nonlinear Elastostatics via the Leray-Schauder Degree

2000 ◽  
Vol 152 (4) ◽  
pp. 273-282 ◽  
Author(s):  
T. J. Healey
Keyword(s):  
Global Continuation ◽  
Nonlinear Elastostatics

scholarly journals Global Continuation of Homoclinic Solutions

2018 ◽  
Vol 37 (2) ◽  
pp. 159-187 ◽  
Author(s):  
Christian Pötzsche ◽  
Robert Skiba
Keyword(s):  
Homoclinic Solutions ◽  
Global Continuation

Global Continuation of Periodic Oscillations to a Diapause Rhythm

2020 ◽  
Author(s):  
Xue Zhang ◽  
Francesca Scarabel ◽  
Xiang-Sheng Wang ◽  
Jianhong Wu
Keyword(s):  
Periodic Oscillations ◽  
Global Continuation

Strict convexity, strong ellipticity, and regularity in the calculus of variations

1980 ◽  
Vol 87 (3) ◽  
pp. 501-513 ◽  
Author(s):  
J. M. Ball
Keyword(s):  
Nonlinear Systems ◽  
Calculus Of Variations ◽  
Weak Solutions ◽  
Convex Functions ◽  
Strict Convexity ◽  
Mathematical Tool ◽  
Strong Ellipticity ◽  
Regularity Of Weak Solutions ◽  
Nonlinear Elastostatics

In this paper we investigate the connection between strong ellipticity and the regularity of weak solutions to the equations of nonlinear elastostatics and other nonlinear systems arising from the calculus of variations. The main mathematical tool is a new characterization of continuously differentiable strictly convex functions. We first describe this characterization, and then explain how it can be applied to the calculus of variations and to elastostatics.

Sign in / Sign up

Export Citation Format

Share Document