THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

1997 ◽  
Vol 17 (1) ◽  
pp. 44-50 ◽  
Author(s):  
Jiaqi Mo ◽  
Yuxing Xu
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Boundary Value ◽  
Higher Order ◽  
Semilinear Elliptic Equations ◽  
Singularly Perturbed ◽  
Semilinear Elliptic

Points of Spherical Maxima and Solvability of Semilinear Elliptic Equations

1991 ◽  
Vol 43 (4) ◽  
pp. 825-831 ◽  
Author(s):  
Martin Schechter ◽  
Kyril Tintarev
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Semilinear Elliptic Equations ◽  
Nonlinear Functional ◽  
Semilinear Elliptic

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.

scholarly journals Semilinear elliptic equations having asymptotic limits at zero and infinity

1999 ◽  
Vol 4 (4) ◽  
pp. 231-242 ◽  
Author(s):  
Kanishka Perera ◽  
Martin Schechter
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Nonlinear Term ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Semilinear Elliptic Equations ◽  
Nontrivial Solutions ◽  
Elliptic Boundary Value ◽  
Semilinear Elliptic

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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