Solutions for a class of singular quasilinear equations involving critical growth in R2

2022 ◽  
Author(s):  
Manassés X. de Souza ◽  
Uberlandio B. Severo ◽  
Gilberto F. Vieira
Keyword(s):  
Critical Growth ◽  
Quasilinear Equations

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.

Critical growth and energy barriers of atomic-scale plastic flow units in metallic glasses

2021 ◽  
Vol 202 ◽  
pp. 114033
Author(s):  
J.H. Yu ◽  
L.Q. Shen ◽  
D. Şopu ◽  
B.A. Sun ◽  
W.H. Wang
Keyword(s):  
Plastic Flow ◽  
Metallic Glasses ◽  
Critical Growth ◽  
Atomic Scale ◽  
Energy Barriers ◽  
Flow Units
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