A smooth variational principle and more about Asplund spaces

1989 ◽  
pp. 64-71
Author(s):  
Robert R. Phelps
Keyword(s):  
Variational Principle ◽  
Asplund Spaces

A Generalized Variational Principle

2001 ◽  
Vol 53 (6) ◽  
pp. 1174-1193 ◽  
Author(s):  
Philip D. Loewen ◽  
Xianfu Wang
Keyword(s):  
Variational Principle ◽  
Generalized Variational Principle ◽  
Asplund Spaces

AbstractWe prove a strong variant of the Borwein-Preiss variational principle, and show that on Asplund spaces, Stegall's variational principle follows from it via a generalized Smulyan test. Applications are discussed.

Quantum dynamics via mobile basis sets: The Dirac variational principle

1992 ◽  
Vol 96 (6) ◽  
pp. 4266-4271 ◽  
Author(s):  
D. Hsu ◽  
D. F. Coker
Keyword(s):  
Variational Principle ◽  
Quantum Dynamics ◽  
Basis Sets

scholarly journals General solutions in Chern-Simons gravity and $$ T\overline{T} $$-deformations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Eva Llabrés
Keyword(s):  
Variational Principle ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Dirichlet Boundary Conditions ◽  
Spin Connection ◽  
Departure Point ◽  
Boundary Stress ◽  
Chern Simons

Abstract We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a $$ T\overline{T} $$ T T ¯ -deformation.

On a strong minimum condition of a fractal variational principle

2021 ◽  
pp. 107199
Author(s):  
Ji-Huan He ◽  
Na Qie ◽  
Chun-hui He ◽  
Tareq Saeed
Keyword(s):  
Variational Principle ◽  
Minimum Condition
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