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.
2005
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/301870
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