2024 Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth
Jie Yang, Lintao Liu, Fengjuan Meng
Topol. Methods Nonlinear Anal. 63(2): 481-513 (2024). DOI: 10.12775/TMNA.2023.026

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.

Citation

Download Citation

Jie Yang. Lintao Liu. Fengjuan Meng. "Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth." Topol. Methods Nonlinear Anal. 63 (2) 481 - 513, 2024. https://doi.org/10.12775/TMNA.2023.026

Information

Published: 2024
First available in Project Euclid: 17 July 2024

Digital Object Identifier: 10.12775/TMNA.2023.026

Keywords: (p,q) Kirchhoff type problems , Concentration , Critical growth , Lusternik-Schnirelmann theory , Nehari manifold

Rights: Copyright © 2024 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.63 • No. 2 • 2024
Back to Top