Existence and classification of positive solutions for coupled purely critical Kirchhoff system (Q6611253)
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scientific article; zbMATH DE number 7919231
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and classification of positive solutions for coupled purely critical Kirchhoff system |
scientific article; zbMATH DE number 7919231 |
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Existence and classification of positive solutions for coupled purely critical Kirchhoff system (English)
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26 September 2024
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This paper is concerned with the study of a Kirchhoff system involving a critical exponent. By using suitable transformations of the problem into different types of constrained variational problems based on the width of the Hartree kernel, the authors give a complete classification of positive ground-state solutions for the Kirchhoff system, where they establish several existence, multiplicity and asymptotic results under suitable conditions on the corresponding parameters.
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coupled Kirchhoff system
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critical exponent
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existence of ground states
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asymptotic behavior
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