scholarly journals BPX‐type Preconditioners for Second and Fourth Order Elliptic Problems on the Sphere

2007 ◽  
Vol 45 (1) ◽  
pp. 206-222 ◽  
Author(s):  
Jan Maes ◽  
Angela Kunoth ◽  
Adhemar Bultheel
Keyword(s):  
Fourth Order ◽  
Elliptic Problems

scholarly journals Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation

2021 ◽  
Vol 26 (2) ◽  
pp. 227-240
Author(s):  
Lin Li ◽  
Donal O’Regan
Keyword(s):  
Boundary Condition ◽  
Positive Solutions ◽  
Fourth Order ◽  
Local Minimum ◽  
Elliptic Problems ◽  
Order Problem ◽  
Critical Nonlinearities ◽  
Fourth Order Problem ◽  
Minimum Theorem ◽  
Sublinear Perturbation

In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.

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