Existence and classification of positive solutions for coupled purely critical Kirchhoff system (Q6611253)

From MaRDI portal





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

    Statements

    Existence and classification of positive solutions for coupled purely critical Kirchhoff system (English)
    0 references
    0 references
    0 references
    0 references
    26 September 2024
    0 references
    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.
    0 references
    coupled Kirchhoff system
    0 references
    critical exponent
    0 references
    existence of ground states
    0 references
    asymptotic behavior
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references