Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth
DOI:
https://doi.org/10.12775/TMNA.2023.026Keywords
(p,q) Kirchhoff type problems, concentration, Nehari manifold, Lusternik--Schnirelmann theory, critical growthAbstract
The aim of this paper is to study the multiplicity and concentration of positive solutions to the $(p,q)$ Kirchhoff-type problems involving a positive potential and a continuous nonlinearity with critical growth at infinity. Applying penalization techniques, truncation methods and the Lusternik-Schnirelmann theory, we investigate a relationship between the number of positive solutions and the topology of the set where the potential $V$ attains its minimum values.References
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