In the present paper we study a class of linear elliptic equations in dimension N, whose coefficients have a type of singularity which appears, for instance, when one looks for axially symmetric. We are interested in sharp apriori bounds for the solution to such a type of equations. Such type of problems can be studied by an appropriate weighted symmetrization based on the structure of the problem and a suitable relative isoperimetric inequality.
An isoperimetric inequality related to Gaussian measure and applications / F., Brock; Chiacchio, Francesco; Mercaldo, Anna. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - 60:(2005), pp. 419-423.
An isoperimetric inequality related to Gaussian measure and applications
CHIACCHIO, FRANCESCO;MERCALDO, ANNA
2005
Abstract
In the present paper we study a class of linear elliptic equations in dimension N, whose coefficients have a type of singularity which appears, for instance, when one looks for axially symmetric. We are interested in sharp apriori bounds for the solution to such a type of equations. Such type of problems can be studied by an appropriate weighted symmetrization based on the structure of the problem and a suitable relative isoperimetric inequality.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
