scholarly journals On the Solvability of Boundary Value Problems for Semilinear Elliptic Equations on Noncompact Riemannian Manifold

Author(s):  
Elena Mazеpa ◽  
1991 ◽  
Vol 43 (4) ◽  
pp. 825-831 ◽  
Author(s):  
Martin Schechter ◽  
Kyril Tintarev

AbstractWe give mild sufficient conditions on a nonlinear functional to have eigenvalues. These results are intended for the study of boundary value problems for semilinear elliptic equations.


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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