We consider a class of isoperimetric problems on $R^{N}_{+}$ where the volume and the area element carry two different weights of the type $|x|^{l}x_{N}^{alpha}$. We solve them in a special case while a more detailed study is contained in [2]. Our results imply a weighted Polya-Szego principle and a priori estimates for weak solutions to a class of boundary value problems for degenerate elliptic equations.

On weighted isoperimetrc inequalities with non radial densities / Alvino, Angelo; Brock, Friedemann; Chiacchio, Francesco; Mercaldo, Anna; Posteraro, MARIA ROSARIA. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - 98:10(2019), pp. 1935-1945. [10.1080/00036811.2018.1506106]

On weighted isoperimetrc inequalities with non radial densities

Angelo Alvino;Francesco Chiacchio
;
Anna Mercaldo;Maria Rosaria Posteraro
2019

Abstract

We consider a class of isoperimetric problems on $R^{N}_{+}$ where the volume and the area element carry two different weights of the type $|x|^{l}x_{N}^{alpha}$. We solve them in a special case while a more detailed study is contained in [2]. Our results imply a weighted Polya-Szego principle and a priori estimates for weak solutions to a class of boundary value problems for degenerate elliptic equations.
2019
On weighted isoperimetrc inequalities with non radial densities / Alvino, Angelo; Brock, Friedemann; Chiacchio, Francesco; Mercaldo, Anna; Posteraro, MARIA ROSARIA. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - 98:10(2019), pp. 1935-1945. [10.1080/00036811.2018.1506106]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/705830
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