Liouville theorems for the weighted Lane-Emden equation with finite Morse indices

2017 ◽  
Author(s):  
Caisheng Chen ◽  
Hui Wang
Keyword(s):  
Liouville Theorems ◽  
Emden Equation ◽  
Morse Indices

Fast and Slow Decaying Solutions of Lane–Emden Equations Involving Nonhomogeneous Potential

2020 ◽  
Vol 20 (2) ◽  
pp. 339-359
Author(s):  
Huyuan Chen ◽  
Xia Huang ◽  
Feng Zhou
Keyword(s):  
Positive Solutions ◽  
Emden Equation

AbstractOur purpose in this paper is to study positive solutions of the Lane–Emden equation-\Delta u=Vu^{p}\quad\text{in }\mathbb{R}^{N}\setminus\{0\},perturbed by a nonhomogeneous potential V, with p\in(\frac{N}{N-2},p_{c}), where {p_{c}} is the Joseph–Ludgren exponent. We construct a sequence of fast and slow decaying solutions with appropriated restrictions for V.

scholarly journals Liouville theorems for Dirac-harmonic maps

2007 ◽  
Vol 48 (11) ◽  
pp. 113517 ◽  
Author(s):  
Q. Chen ◽  
J. Jost ◽  
G. Wang
Keyword(s):  
Harmonic Maps ◽  
Liouville Theorems
Sign in / Sign up

Export Citation Format

Share Document