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

Mario Zuluaga

doi:10.1155/s1110757x03208032

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

作者：Mario Zuluaga

来源：Journal of Applied Mathematics, 2003.

DOI：10.1155/s1110757x03208032

摘要

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 systems results obtained (for the scalar case) by Br%26#233;zis and Nirenberg (1983). Also, we give applications to biharmonic equations.