A note on the variational structure of an elliptic system involving critical Sobolev exponent
Zuluaga, Mario
J. Appl. Math., Tome 2003 (2003) no. 1, p. 227-241 / Harvested from Project Euclid
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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 Brézis and Nirenberg (1983). Also, we give applications to biharmonic equations.
Publié le : 2003-04-30
Classification:  35J55,  35J50 
@article{1052246524,
     author = {Zuluaga, Mario},
     title = {A note on the variational structure of an elliptic system
involving critical Sobolev exponent},
     journal = {J. Appl. Math.},
     volume = {2003},
     number = {1},
     year = {2003},
     pages = { 227-241},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1052246524}
}

Zuluaga, Mario. A note on the variational structure of an elliptic system
involving critical Sobolev exponent. J. Appl. Math., Tome 2003 (2003) no. 1, pp.  227-241. http://gdmltest.u-ga.fr/item/1052246524/