Abstract
A variational formula for Lutwak’s dual affine quermassintegrals $${\widetilde{\Lambda }}_{j}$$ of convex bodies in $${\mathbb {R}}^n$$ is established when $$1\le j\le n-1.$$ Using new ellipsoids associated with the intersection functions of convex bodies, we prove several sharp affine isoperimetric inequalities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Calculus of Variations and Partial Differential Equations
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
