## View abstract

### Session S02 - Diverse Aspects of Elliptic PDEs and Related Problems

Wednesday, July 14, 16:30 ~ 17:00 UTC-3

## On the Principal Frequency of the Anisotropic $p$-Laplacian

### Marian Bocea

#### National Science Foundation, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloake359c17d64886304c25b85ddd4e67f9c').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addye359c17d64886304c25b85ddd4e67f9c = 'mb&#111;c&#101;&#97;' + '&#64;'; addye359c17d64886304c25b85ddd4e67f9c = addye359c17d64886304c25b85ddd4e67f9c + 'nsf' + '&#46;' + 'g&#111;v'; var addy_texte359c17d64886304c25b85ddd4e67f9c = 'mb&#111;c&#101;&#97;' + '&#64;' + 'nsf' + '&#46;' + 'g&#111;v';document.getElementById('cloake359c17d64886304c25b85ddd4e67f9c').innerHTML += '<a ' + path + '\'' + prefix + ':' + addye359c17d64886304c25b85ddd4e67f9c + '\'>'+addy_texte359c17d64886304c25b85ddd4e67f9c+'<\/a>';

We study the monotonicity (with respect to $p$) of the principal frequency of the anisotropic $p$-Laplacian on bounded, convex domains with smooth boundary. As a consequence of our main result, we obtain a new variational characterization for the principal frequency on domains having a sufficiently small inradius. The talk is based on joint work with Denisa Stancu-Dumitru ("Politehnica" University of Bucharest, Romania) and Mihai Mihailescu (University of Craiova, Romania).