- #1
hsong9
- 80
- 1
Homework Statement
Find a function f(x,y) on R2 such that for each real number t, we have
lim x->∞ f(x,tx) = lim y->∞ f(ty,y) = ∞, but such that f(x,y) is not coercive.
Homework Equations
The Attempt at a Solution
I know that f(x,y) = x^2 -2xy + y^2 = (x-y)^2 is not coercive
but I am not sure this function can be used in above question.