Concentration compactness principles for the systems of critical elliptic equations (Q2913834)
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scientific article; zbMATH DE number 6085108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Concentration compactness principles for the systems of critical elliptic equations |
scientific article; zbMATH DE number 6085108 |
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Concentration compactness principles for the systems of critical elliptic equations (English)
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21 September 2012
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concentration compactness principle
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bounded sequences
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convergence
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systems of elliptic equations
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critical exponents
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0.9295056
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0.9257135
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0.9094659
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0.90884227
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The paper deals with variants of the concentration compactness principle. The results can be applied to verify local Palais-Smale conditions for energy functionals arising from certain elliptic systems in bounded domains subject to homogeneous Dirichlet boundary conditions involving critical Sobolev exponents. The proofs of the concentration compactness results use ideas of \textit{P. L. Lions} [Rev. Mat. Iberoam. 1, No. 1, 145--201 (1985; Zbl 0704.49005); ibid. No. 2, 45--121 (1985; Zbl 0704.49006)].
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