Some isoperimetric inequalities with respect to monomial weights

Angelo Alvino, Friedemann Brock, Francesco Chiacchio +2

We solve a class of isoperimetric problems on ${\mathbb{R}}_{+}^2:=\left\{(x,y)\in {\mathbb{R}}^2:y>0\right\}$ with respect to monomial weights. Let $\alpha$ and $\beta$ be real numbers suc…