Isoperimetric inequality in the Grushin plane

By Roberto Monti, Daniele Morbidelli. 2004

54 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b33b23080334d19a85e1f6e8572aebf373b87de3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Matthieu Rickly
2. Roberto Monti
3. D. Monticelli

In Geometry and Topology

1. Matthieu Rickly
2. Roberto Monti

Citations in the corpus

• Sobolev Inequalities for Weighted Gradients (2006, background): “In the case of the plane, the sharp Sobolev inequality for the L1 norm of the Grushin gradient was established in Monti and Morbidelli (2004) as a corollary of a sharp isoperimetric inequality.”
• Convex isoperimetric sets in the Heisenberg group (2006, background): “Further evidence supporting Pansu’s conjecture is provided by [15], where a 2-dimensional version of the problem is solved.”