Asymptotic profile of a least-energy solution to a nonlinear elliptic equation in nonlinear optics

2008 ◽  
Vol 138 (03) ◽  
pp. 619-646
Author(s):  
Masataka Shibata
Keyword(s):  
Elliptic Equation ◽  
Nonlinear Optics ◽  
Nonlinear Elliptic Equation ◽  
Energy Solution ◽  
Nonlinear Elliptic ◽  
Asymptotic Profile ◽  
Least Energy Solution ◽  
Least Energy

scholarly journals On the location of a peak point of a least energy solution for Hénon equation

2011 ◽  
Vol 30 (4) ◽  
pp. 1055-1081 ◽  
Author(s):  
Jaeyoung Byeon ◽  
◽  
Sungwon Cho ◽  
Junsang Park ◽  
◽  
...  
Keyword(s):  
Energy Solution ◽  
Peak Point ◽  
Least Energy Solution ◽  
Hénon Equation ◽  
Least Energy

Nonlinear Elliptic Equations in Strip-Like Domains

2012 ◽  
Vol 12 (4) ◽  
Author(s):  
Jaeyoung Byeon ◽  
Kazunaga Tanaka
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Bounded Domain ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equation ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic

AbstractWe study the existence of a positive solution of a nonlinear elliptic equationwhere k ≥ 2 and D is a bounded domain domain in R

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