Mean value property in limit for eigenfunctions of the Laplace–Beltrami operator

2020 ◽  
Vol 373 (7) ◽  
pp. 4735-4756
Author(s):  
Muna Naik ◽  
Swagato K. Ray ◽  
Rudra P. Sarkar
Keyword(s):  
Mean Value ◽  
Beltrami Operator ◽  
Mean Value Property

scholarly journals On the mean value property of superharmonic and subharmonic functions

2006 ◽  
Vol 2006 ◽  
pp. 1-3
Author(s):  
Robert Dalmasso
Keyword(s):  
Harmonic Functions ◽  
Mean Value ◽  
Subharmonic Functions ◽  
Mean Value Property ◽  
The Mean

We prove a converse of the mean value property for superharmonic and subharmonic functions. The case of harmonic functions was treated by Epstein and Schiffer.

On the Inverse mean value Property of Harmonic Functions on Strips

1992 ◽  
Vol 24 (6) ◽  
pp. 559-564 ◽  
Author(s):  
M. Goldstein ◽  
W. Haussmann ◽  
L. Rogge
Keyword(s):  
Harmonic Functions ◽  
Mean Value ◽  
Mean Value Property
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