scholarly journals Metric selfduality and monotone vector fields on manifolds

2016 ◽  
Vol 271 (6) ◽  
pp. 1652-1690 ◽  
Author(s):  
Nassif Ghoussoub ◽  
Abbas Moameni
Keyword(s):  
Vector Fields ◽  
Monotone Vector Fields

scholarly journals Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus

2011 ◽  
Vol 11 (2) ◽  
Author(s):  
Nassif Ghoussoub ◽  
Abbas Moameni ◽  
Ramón Zárate Sáiz
Keyword(s):  
Vector Fields ◽  
Maximal Monotone ◽  
Variational Calculus ◽  
Classical Case ◽  
Divergence Form ◽  
Graph Convergence ◽  
Monotone Vector Fields ◽  
Γ Convergence ◽  
Maximal Monotone Vector Fields ◽  
Periodic Family

AbstractWe use the theory of selfdual Lagrangians to give a variational approach to the homogenization of equations in divergence form, that are driven by a periodic family of maximal monotone vector fields. The approach has the advantage of using Γ-convergence methods for corresponding functionals just as in the classical case of convex potentials, as opposed to the graph convergence methods used in the absence of potentials. A new variational formulation for the homogenized equation is also given.

Invariant monotone vector fields on Riemannian manifolds

2009 ◽  
Vol 70 (5) ◽  
pp. 1850-1861 ◽  
Author(s):  
A. Barani ◽  
M.R. Pouryayevali
Keyword(s):  
Riemannian Manifolds ◽  
Vector Fields ◽  
Monotone Vector Fields

Singularities of Monotone Vector Fields and an Extragradient-type Algorithm

2005 ◽  
Vol 31 (1) ◽  
pp. 133-151 ◽  
Author(s):  
O. P. Ferreira ◽  
L. R. Lucambio. Pérez ◽  
S. Z. Németh
Keyword(s):  
Vector Fields ◽  
Type Algorithm ◽  
Monotone Vector Fields

Non-existence of strictly monotone vector fields on certain Riemannian manifolds

2015 ◽  
Vol 146 (1) ◽  
pp. 240-246 ◽  
Author(s):  
J. X. Cruz Neto ◽  
I. D. Melo ◽  
P. A. Sousa
Keyword(s):  
Riemannian Manifolds ◽  
Vector Fields ◽  
Monotone Vector Fields

Resolvents of Set-Valued Monotone Vector Fields in Hadamard Manifolds

2010 ◽  
Vol 19 (3) ◽  
pp. 361-383 ◽  
Author(s):  
Chong Li ◽  
Genaro López ◽  
Victoria Martín-Márquez ◽  
Jin-Hua Wang
Keyword(s):  
Vector Fields ◽  
Hadamard Manifolds ◽  
Monotone Vector Fields
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