Eigenvalue inequalities for the dirichlet problem on spheres and the growth of subharmonic functions

1976 ◽  
Vol 51 (1) ◽  
pp. 133-161 ◽  
Author(s):  
S. Friedland ◽  
W. K. Hayman
Keyword(s):  
Dirichlet Problem ◽  
Subharmonic Functions

scholarly journals The Dirichlet problem for $m$-subharmonic functions on compact sets

2020 ◽  
Vol 126 (3) ◽  
pp. 497-512
Author(s):  
Per Åhag ◽  
Rafał Czyż ◽  
Lisa Hed
Keyword(s):  
Dirichlet Problem ◽  
Harmonic Functions ◽  
Compact Set ◽  
Compact Sets ◽  
Subharmonic Functions

We characterize those compact sets for which the Dirichlet problem has a solution within the class of continuous $m$-subharmonic functions defined on a compact set, and then within the class of $m$-harmonic functions.

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