ANALYSIS OF OPTIMAL SETS AND OPTIMAL CONSTANTS:
OLD QUESTIONS AND NEW RESULTS

ERC STARTING GRANT 258685 - Principal Investigator Aldo Pratelli

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PAPERS  

(This is a list of all papers supported by the Grant)

• D. Krejcirik & A. Pratelli, The Cheeger constant of curved stripes, preprint (2010).
• N. Fusco, F. Maggi & A. Pratelli, On the isoperimetric problem with respect to a mixed Euclidean-Gaussian density, preprint (2010).
• L. Brasco & A. Pratelli, Sharp stability of some spectral inequalities , preprint (2010).
• M. Beiglböeck & A. Pratelli, Duality for rectified Cost Functions , preprint (2010).
• A. Figalli, F. Maggi & A. Pratelli, A geometric approach to correlation inequalities in the plane, preprint (2011).
• A. Figalli, F. Maggi & A. Pratelli, Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variations, preprint (2011).
• G. De Philippis & F. Maggi, Sharp stability inequalities for the Plateau problem, preprint (2011).
• A. Figalli & F. Maggi, On the isoperimetric problem with respect to a log-convex density, preprint (2012)

• F. Maggi, Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory, Cambridge Studies in Advanced Mathematics 135, Cambridge University Press, 2012.