scholarly journals Boundary regularity of minimizers of p(x)-energy functionals

2016 ◽  
Vol 33 (2) ◽  
pp. 451-476 ◽  
Author(s):  
Maria Alessandra Ragusa ◽  
Atsushi Tachikawa
Keyword(s):  
Boundary Regularity ◽  
Energy Functionals ◽  
Regularity Of Minimizers

On interior regularity of minimizers of -energy functionals

2013 ◽  
Vol 93 ◽  
pp. 162-167 ◽  
Author(s):  
Maria Alessandra Ragusa ◽  
Atsushi Tachikawa
Keyword(s):  
Energy Functionals ◽  
Regularity Of Minimizers ◽  
Interior Regularity

scholarly journals Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces

2019 ◽  
Vol 7 (1) ◽  
pp. 179-196
Author(s):  
Anders Björn ◽  
Daniel Hansevi
Keyword(s):  
Harmonic Functions ◽  
Obstacle Problem ◽  
Metric Spaces ◽  
Local Property ◽  
Boundary Regularity ◽  
Obstacle Problems ◽  
Regular Boundary ◽  
Complete Metric Spaces ◽  
Regularity Results

Abstract The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞. The barrier classification of regular boundary points is established, and it is shown that regularity is a local property of the boundary. We also obtain boundary regularity results for solutions of the obstacle problem on open sets, and characterize regularity further in several other ways.

scholarly journals Self-consistent Dyson equation and self-energy functionals: An analysis and illustration on the example of the Hubbard atom

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
Walter Tarantino ◽  
Pina Romaniello ◽  
J. A. Berger ◽  
Lucia Reining
Keyword(s):  
Dyson Equation ◽  
Energy Functionals ◽  
Self Energy ◽  
Self Consistent

Ab initiomolecular dynamics: Analytically continued energy functionals and insights into iterative solutions

1992 ◽  
Vol 69 (7) ◽  
pp. 1077-1080 ◽  
Author(s):  
T. A. Arias ◽  
M. C. Payne ◽  
J. D. Joannopoulos
Keyword(s):  
Energy Functionals ◽  
Iterative Solutions
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