Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist

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.

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.


1999 ◽  
Vol 4 (4) ◽  
pp. 231-242 ◽  
Author(s):  
Kanishka Perera ◽  
Martin Schechter

We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.


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