On the number of positive solutions for nonlinear elliptic equations when a parameter is large

1991 ◽  
Vol 16 (3) ◽  
pp. 283-297 ◽  
Author(s):  
Song-Sun Lin
Author(s):  
Daomin Cao ◽  
Ezzat S. Noussair ◽  
Shusen Yan

Solutions with peaks near the critical points of Q(x) are constructed for the problemWe establish the existence of 2k −1 positive solutions when Q(x) has k non-degenerate critical points in ℝN


2007 ◽  
Vol 344 (2) ◽  
pp. 83-88 ◽  
Author(s):  
Marie-Françoise Bidaut-Véron ◽  
Augusto C. Ponce ◽  
Laurent Véron

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