Weighted Sobolev Spaces and Degenerate Elliptic Equations

In this paper, we survey a number of recent results obtained inthe study of weighted Sobolev spaces (with power-type weights, A_p -weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.

Bibliographic Details
Main Author: Albo Carlos Cavalheiro
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2008-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7415/4261