Multiplicity and asymptotic behavior of solutions for quasilinear elliptic equations with small perturbations

2021 ◽  
pp. 125496
Author(s):  
Chen Huang
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Small Perturbations ◽  
Quasilinear Elliptic

scholarly journals Asymptotic Behavior of Positive Solutions for a Class of Quasilinear Elliptic Equations in R2

2014 ◽  
Vol 57 (2) ◽  
pp. 297-317 ◽  
Author(s):  
Shinji Adachi ◽  
Masataka Shibata ◽  
Tatsuya Watanabe
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

Existence and Concentration of Bound States for a p-Laplacian Equation in ℝN

2010 ◽  
Vol 10 (2) ◽  
Author(s):  
Elisandra Gloss
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Bound States ◽  
Quasilinear Elliptic Equations ◽  
Laplacian Equation ◽  
Quasilinear Elliptic

AbstractWe study existence and asymptotic behavior of positive solutions for quasilinear elliptic equations of the form -ε

Existence and Asymptotic Behavior for the Ground State of Quasilinear Elliptic Equations

2018 ◽  
Vol 18 (4) ◽  
pp. 725-744 ◽  
Author(s):  
Xiaoyu Zeng ◽  
Yimin Zhang
Keyword(s):  
Asymptotic Behavior ◽  
Minimization Problem ◽  
Ground State ◽  
Elliptic Equations ◽  
Critical Case ◽  
Blow Up ◽  
Quasilinear Elliptic Equations ◽  
Quasilinear Elliptic

AbstractIn this paper, we are concerned with the existence and asymptotic behavior of minimizers of a minimization problem related to some quasilinear elliptic equations. Firstly, we prove that there exist minimizers when the exponentqis the critical one{q^{*}=2+\frac{4}{N}}. Then, we prove that all minimizers are compact asqtends to the critical case{q^{*}}when{a<a_{q^{*}}}is fixed. Moreover, we find that all the minimizers must blow up as the exponentqtends to the critical case{q^{*}}for any fixed{a>a_{q^{*}}}.

Sign in / Sign up

Export Citation Format

Share Document