Multiplicity of solutions of semilinear elliptic boundary value problems with jumping nonlinearities at zero

2002 ◽  
Vol 48 (7) ◽  
pp. 1051-1063 ◽  
Author(s):  
Zhaoli Liu
Author(s):  
Shujie Li ◽  
Kanishka Perera ◽  
Jiabao Su

We compute critical groups in semilinear elliptic boundary-value problems in which the nonlinear term may fail to have asymptotic limits at zero and at infinity. As applications, we prove several new existence results.


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