On existence and nonexistence of isoperimetric inequality with differents monomial weights

Emerson Abreu, Leandro G. Fernandes

We consider the monomial weight $x^A=|x_1{|}^{a_1}\dots |x_N{|}^{a_N}$, where $a_i$ is a nonnegative real number for each $i\in \{1,\dots ,N\}$, and we est…