The effect of domain shape on the number of positive and nodal solutions for semilinear elliptic equations

2007 ◽  
Vol 67 (9) ◽  
pp. 2609-2622
Author(s):  
Tsung-fang Wu
Keyword(s):  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Nodal Solutions ◽  
Domain Shape ◽  
Semilinear Elliptic

Existence of 2–Nodal Solutions for Semilinear Elliptic Equations in Unbounded Domains

2010 ◽  
Vol 10 (1) ◽  
pp. 1-21 ◽  
Author(s):  
Tiexiang Li ◽  
Huei-li Lin ◽  
Tsung-fang Wu
Keyword(s):  
Elliptic Equation ◽  
Elliptic Equations ◽  
Unbounded Domains ◽  
Semilinear Elliptic Equation ◽  
Semilinear Elliptic Equations ◽  
Nodal Solutions ◽  
Domain Shape ◽  
Semilinear Elliptic

AbstractIn this paper, we study the effect of domain shape on the existence of 2-nodal solutions for a semilinear elliptic equation involving non-odd nonlinearities.

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