Euclidean balls solve some isoperimetric problems with nonradial weights
Euclidean balls solve some isoperimetric problems with nonradial weights
In this Note we present the solution of some isoperimetric problems in open convex cones of Rn in which perimeter and volume are measured with respect to certain nonradial weights. Surprisingly, Euclidean balls centered at the origin (intersected with the convex cone) minimize the isoperimetric quotient. Our result applies to …