| dc.contributor | Emerson Alves Mendonça de Abreu | |
| dc.contributor | http://lattes.cnpq.br/0989407026771712 | |
| dc.contributor | Everaldo Souto de Medeiros | |
| dc.contributor | Marcos da Silva Montenegro | |
| dc.creator | Marta Nascimento Menezes | |
| dc.date.accessioned | 2022-01-08T03:06:04Z | |
| dc.date.accessioned | 2022-10-03T22:32:44Z | |
| dc.date.available | 2022-01-08T03:06:04Z | |
| dc.date.available | 2022-10-03T22:32:44Z | |
| dc.date.created | 2022-01-08T03:06:04Z | |
| dc.date.issued | 2020-02-20 | |
| dc.identifier | http://hdl.handle.net/1843/39047 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/3804957 | |
| dc.description.abstract | We consider the monomial weight |x_1|^{A_1}...|x_n|^{A_n} in R^n, where A_i ≥ 0 is a real number for each i = 1, ..., n, and we present the isoperimetric, Sobolev, Morrey, and Trudinger-Moser inequalities involving this weight. They are the analogue of the classical ones with the Lebesgue measure dx replaced by |x_1|^{A_1}...|x_n|^{A_n}dx. For the isoperimetric and Sobolev inequalities, we describe the best constant and the extremal functions. | |
| dc.publisher | Universidade Federal de Minas Gerais | |
| dc.publisher | Brasil | |
| dc.publisher | ICX - DEPARTAMENTO DE MATEMÁTICA | |
| dc.publisher | Programa de Pós-Graduação em Matemática | |
| dc.publisher | UFMG | |
| dc.rights | Acesso Aberto | |
| dc.subject | Desigualdade de Sobolev com peso | |
| dc.subject | Desigualdades isoperimétricas comuma densidade | |
| dc.subject | Peso monomial | |
| dc.title | Desigualdades isoperimétricas com pesos monomiais | |
| dc.type | Dissertação | |
