Symmetry-Breaking Phenomena in an Optimization Problem for some Nonlinear Elliptic Equation

2004 ◽  
Vol 50 (3) ◽  
pp. 259-278 ◽  
Author(s):  
Kazuhiro Kurata ◽  
Masataka Shibata ◽  
Shigeru Sakamoto
Keyword(s):  
Elliptic Equation ◽  
Symmetry Breaking ◽  
Nonlinear Elliptic Equation ◽  
Optimization Problem ◽  
Nonlinear Elliptic ◽  
Symmetry Breaking Phenomena

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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