On nontrivial solutions of critical polyharmonic elliptic systems (Q1028287)
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scientific article; zbMATH DE number 5572150
| Language | Label | Description | Also known as |
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| English | On nontrivial solutions of critical polyharmonic elliptic systems |
scientific article; zbMATH DE number 5572150 |
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On nontrivial solutions of critical polyharmonic elliptic systems (English)
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30 June 2009
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From the abstract: We consider elliptic systems involving polyharmonic operators and critical exponents. We discuss the existence and nonexistence of nontrivial solutions to these systems. Our theorems improve and/or extend the ones established by \textit{T. Bartsch} and \textit{Y. Guo} [J. Differ. Equations 220, No. 2, 531--543 (2006; Zbl 1189.35083)] in both aspects of spectral interaction and regularity of lower order perturbations.
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polyharmonic elliptic system
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critical Sobolev exponents
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variational methods
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