2. Show that if u is a SC

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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2. Show that if u is a solution of
ди
au
+ E(x, y)ay
ax
Vu + D(x, y)
=-F(x, y)
in D
with F< 0, then u cannot attain its maximum at any point of D.
Transcribed Image Text:2. Show that if u is a solution of ди au + E(x, y)ay ax Vu + D(x, y) =-F(x, y) in D with F< 0, then u cannot attain its maximum at any point of D.
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