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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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03208032 |
| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |