Let p(x,y) be a positive polynomial of degree n ,p(x,y)=0 only at the origin.Is it possible that

the quotient p(x,y)/[absolute value(x)+absval(y)]^n will have a positive lower bound in the punctured rectangle [-1,1]x[-1,1]-{(0,0)}?

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- December 23rd 2012, 07:38 AMhedilower bound of a two variable function
Let p(x,y) be a positive polynomial of degree n ,p(x,y)=0 only at the origin.Is it possible that

the quotient p(x,y)/[absolute value(x)+absval(y)]^n will have a positive lower bound in the punctured rectangle [-1,1]x[-1,1]-{(0,0)}? - December 23rd 2012, 12:27 PMchiroRe: Singularities of two variable rational functions
Hey hedi.

Can you explain what you mean symbolically (i.e. mathematically with symbols)?