Some isoperimetric inequalities with respect to monomial weights

2019/07/08 by Alvino, Angelo, Brock, Friedemann, Chiacchio, Francesco +2 · 1 citation
#35P15 #46E30 #46E35 #51M16 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.03659

Abstract

We solve a class of isoperimetric problems on ℝ²₊ :=\ (x,y)∈ ℝ ² : y>0 \ with respect to monomial weights. Let α and β be real numbers such that 0≤ α

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