Weighted Sobolev Spaces and Degenerate Elliptic Equations



Document title: Weighted Sobolev Spaces and Degenerate Elliptic Equations
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000395461
ISSN: 0037-8712
Authors: 1
Institutions: 1Universidade Estadual de Londrina, Departamento de Matematica, Londrina, Parana. Brasil
Year:
Volumen: 26
Number: 1-2
Pages: 117–132-117–132
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract In this paper, we survey a number of recent results obtained in the study of weighted Sobolev spaces (with power-type weights, Ap -weights, padmissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Análisis funcional,
Espacios de Sobolev,
Ecuaciones elípticas,
Espacios ponderados de Sobolev,
Ecuaciones diferenciales,
Ecuaciones diferenciales parciales
Keyword: Mathematics,
Pure mathematics,
Functional analysis,
Sobolev spaces,
Elliptic equations,
Weighted Sobolev spaces,
Differential equations,
Partial differential equations
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