scholarly journals Nonlinear Eigenvalue Problems for Some Fourth Order Equations. I: Maximal Solutions

1970 ◽  
Vol 1 (4) ◽  
pp. 437-457 ◽  
Author(s):  
Seymour V. Parter
Keyword(s):  
Fourth Order ◽  
Eigenvalue Problems ◽  
Nonlinear Eigenvalue Problems ◽  
Maximal Solutions ◽  
Fourth Order Equations ◽  
Nonlinear Eigenvalue

scholarly journals Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Fatma Aydin Akgun
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Fourth Order ◽  
Eigenvalue Problems ◽  
Global Bifurcation ◽  
Nonlinear Eigenvalue Problems ◽  
Nodal Properties ◽  
Nonlinear Eigenvalue

In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity. We prove the existence of two families of unbounded continuance of solutions bifurcating at infinity and corresponding to the usual nodal properties near bifurcation intervals.

scholarly journals Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains

2010 ◽  
Vol 28 (3) ◽  
pp. 1033-1050 ◽  
Author(s):  
Craig Cowan ◽  
◽  
Pierpaolo Esposito ◽  
Nassif Ghoussoub ◽  
◽  
...  
Keyword(s):  
Fourth Order ◽  
Eigenvalue Problems ◽  
Extremal Solutions ◽  
Nonlinear Eigenvalue Problems ◽  
Nonlinear Eigenvalue
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