Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth

2020 ◽  
Vol 491 (2) ◽  
pp. 124355 ◽  
Author(s):  
Quanqing Li ◽  
Kaimin Teng ◽  
Wenbo Wang ◽  
Jian Zhang
Keyword(s):  
Critical Growth ◽  
Kirchhoff Type ◽  
Concentration Phenomenon

scholarly journals Existence and Concentration Behavior of Solutions of the Critical Schrödinger–Poisson Equation in R3

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 464
Author(s):  
Jichao Wang ◽  
Ting Yu
Keyword(s):  
Poisson Equation ◽  
Existence Result ◽  
Critical Growth ◽  
Singularly Perturbed ◽  
Singularly Perturbed Problem ◽  
Number Of Solutions ◽  
Concentration Behavior ◽  
The Relationship ◽  
Concentration Phenomenon

In this paper, we study the singularly perturbed problem for the Schrödinger–Poisson equation with critical growth. When the perturbed coefficient is small, we establish the relationship between the number of solutions and the profiles of the coefficients. Furthermore, without any restriction on the perturbed coefficient, we obtain a different concentration phenomenon. Besides, we obtain an existence result.

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