A note on the variational structure of an elliptic system involving critical Sobolev exponent (Q1811875)
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scientific article; zbMATH DE number 1930001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the variational structure of an elliptic system involving critical Sobolev exponent |
scientific article; zbMATH DE number 1930001 |
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A note on the variational structure of an elliptic system involving critical Sobolev exponent (English)
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18 June 2003
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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 \textit{J. Fleckinger} et al. [Differ. Integral Equ. 8, No. 1, 69--85 (1995; Zbl 0821.35018)], we can find positive solutions. Also, we generalize the systems results obtained (for the scalar case) by \textit{H. Brézis} and \textit{L. Nirenberg} [Commun. Pure Appl. Math. 36, 437--477 (1983; Zbl 0541.35029)]. Also, we give applications to biharmonic equations.
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0.8162583112716675
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0.8124924898147583
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0.8121439218521118
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0.8106434941291809
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