Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth
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Published:2024-03-03
Issue:
Volume:
Page:1-33
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Yang Jie,Liu Lintao,Meng Fengjuan
Abstract
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.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University