Exercise 40 (HARNACK inequality)
Exercises
Exercise 42 (LIOUVILLE theorem)
Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany
Exercise 41 (Subharmonic functions)
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Subharmonic functions
[aufgabe:41]
Sei
u harmonisch. Zeige, dass dann folgende Funktionen subharmonisch sind:
[aufgabe:41-(a)]
v:=ϕ(u) , falls ϕ:
R
→
R
glatt und konvex,
[aufgabe:41-(b)]
v:=|Du|
2
.
Version 1.5
H.W. Alt - 02.01.2007
Exercise 40 (HARNACK inequality)
Exercises
Exercise 42 (LIOUVILLE theorem)
Index
© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany
