Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations

We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying suitable hypotheses.

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Bibliographic Details
Main Author: Albo Carlos Cavalheiro
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504310043
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