IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Measuring the level sets of anisotropic homogeneous functions
Autor/es:
HUGO AIMAR AND IVANA GÓMEZ
Revista:
POSITIVITY
Editorial:
SPRINGER
Referencias:
Lugar: Basel/Schweiz; Año: 2010
ISSN:
1385-1292
Resumen:
In this note we investigate some basic properties of the level sets of functions which are homogeneous with respect to nonisotropic dilations. In particular we obtain a formula for the volume of the level sets in terms of the area on the level surfaces. We relate the results to some well known mean value formulas for solutions of PDEs.
