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## Main Question or Discussion Point

How can I show that the set A = {(x,y) in R^2 | x^4+y^4 =< 1, x>=0 y>=0} is convex.

- Thread starter peteryellow
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How can I show that the set A = {(x,y) in R^2 | x^4+y^4 =< 1, x>=0 y>=0} is convex.

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The function is (weakly) convex

The lower contour set (=<1) of a convect function is convex.

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