Existence of solutions to a semilinear elliptic boundary value problem with augmented Morse index bigger than two

2016 ◽  
Vol 48 (1) ◽  
pp. 1
Author(s):  
Alfonso Castro ◽  
Ivan Ventura
Keyword(s):  
Boundary Value Problem ◽  
Morse Index ◽  
Existence Of Solutions ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Semilinear Elliptic

scholarly journals On a nonlinear elliptic boundary-value problem

1975 ◽  
Vol 12 (3) ◽  
pp. 399-405 ◽  
Author(s):  
E.N. Dancer
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Linear Part ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Nonlinear Elliptic ◽  
Nonlinear Elliptic Boundary

We announce a number of results on the existence of solutions of nonlinear elliptic boundary value problems in the case where the dominating linear part is not invertible. Our theorems improve recent results of Landesman and Lazer, and Williams.

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