On principal frequencies, volume and inradius in convex sets

Author:

Brasco Lorenzo,Mazzoleni DarioORCID

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilitá e le loro Applicazioni

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. van den Berg, M.: Estimates for the torsion function and Sobolev constants. Potential Anal. 36, 607–616 (2012)

2. van den Berg, M., Buttazzo, G., Pratelli, A.: On the relations between principal eigenvalue and torsional rigidity, preprint (2019), available at arXiv:1910.14593

3. van den Berg, M., Ferone, V., Nitsch, C., Trombetti, C.: On a Pólya functional for rhombi, isosceles triangles, and thinning convex sets, preprint (2018), available at arXiv:1811.04503

4. van den Berg, M., Ferone, V., Nitsch, C., Trombetti, C.: On Pólya’s inequality for torsional rigidity and first Dirichlet eigenvalue. Integral Equ. Oper. Theory 86, 579–600 (2016)

5. Brasco, L.: On principal frequencies and isoperimetric ratios in convex sets, to appear on Ann. Fac. Sci. Toulouse Math., available at http://cvgmt.sns.it/paper/3891/

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