Si presentano alcuni risultati recenti riguardanti la disuguaglianza di Pòlya- Szegö e la caratterizzazione dei casi in cui essa si riduce ad un'uguaglianza. Particolare attenzione viene rivolta alla simmetrizzazione di Steiner di insiemi di perimetro finito e di funzioni di Sobolev.
We present some recent results concerning the Pòlya-Szegö inequality and the characterization of the equality cases. In particular we will be concerned with the Steiner symmetrization of sets of finite perimeter and Sobolev functions.
@article{BUMI_2005_8_8B_3_529_0, author = {Nicola Fusco}, title = {Simmetrizzazione e disuguaglianze di tipo P\`olya-Szeg\"o}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {8-A}, year = {2005}, pages = {529-548}, zbl = {1182.26050}, mrnumber = {2182414}, language = {it}, url = {http://dml.mathdoc.fr/item/BUMI_2005_8_8B_3_529_0} }
Fusco, Nicola. Simmetrizzazione e disuguaglianze di tipo Pòlya-Szegö. Bollettino dell'Unione Matematica Italiana, Tome 8-A (2005) pp. 529-548. http://gdmltest.u-ga.fr/item/BUMI_2005_8_8B_3_529_0/
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