A note on the variational structure of an elliptic system involving critical Sobolev exponent

We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al. (1995), we can find positive solutions. Also, we generalize the system...

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Bibliographic Details
Main Author: Mario Zuluaga
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X03208032