On weighted isoperimetric inequalities with non-radial densities
| Autor: | Angelo Alvino, Friedemann Brock, Maria Rosaria Posteraro, Francesco Chiacchio, Anna Mercaldo |
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| Přispěvatelé: | Alvino, Angelo, Brock, Friedemann, Chiacchio, Francesco, Mercaldo, Anna, Posteraro, MARIA ROSARIA |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Class (set theory) Applied Mathematics Carry (arithmetic) 010102 general mathematics Type (model theory) 01 natural sciences Elliptic boundary value problem 010101 applied mathematics Mathematics - Analysis of PDEs Isoperimetric inequality weighted rearrangement norm inequality elliptic boundary value problem eigenvalue problem 51M16 46E35 46E30 35P15 FOS: Mathematics 0101 mathematics Special case Element (category theory) Isoperimetric inequality Analysis Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Applicable Analysis. 98:1935-1945 |
| ISSN: | 1563-504X 0003-6811 |
| Popis: | We consider a class of isoperimetric problems on $\mathbb{R}^{N}_{+} $ where the volume and the area element carry two different weights of the type $|x|^lx_N^\alpha$. We solve them in a special case while a more detailed study is contained in \cite{ABCMP2}. Our results imply a weighted Polya-Sz\"ego principle and a priori estimates for weak solutions to a class of boundary value problems for degenerate elliptic equations |
| Databáze: | OpenAIRE |
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