Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems

1975 ◽  
Vol 58 (3) ◽  
pp. 207-218 ◽  
Author(s):  
Michael G. Crandall ◽  
Paul H. Rabinowitz
Keyword(s):  
Variational Methods ◽  
Positive Solutions ◽  
Eigenvalue Problems ◽  
Nonlinear Elliptic ◽  
Elliptic Eigenvalue Problems

scholarly journals Positive Solutions of Nonlinear Elliptic Equations with Nonlinear Boundary Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Hua Luo
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Nonlinear Boundary ◽  
Eigenvalue Problems ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Boundary Conditions ◽  
Nonlinear Elliptic ◽  
Elliptic Eigenvalue Problems ◽  
Bifurcation From Interval

This paper discusses bifurcation from interval for the elliptic eigenvalue problems with nonlinear boundary conditions and studies the behavior of the bifurcation components.

On the Existence of Infinite Sequences of Ordered Positive Solutions of Nonlinear Elliptic Eigenvalue Problems

2016 ◽  
Vol 16 (3) ◽  
Author(s):  
Francisco Júlio S. A. Corrêa ◽  
Marcos L. M. Carvalho ◽  
José Valdo A. Gonçalves ◽  
Kaye O. Silva
Keyword(s):  
Positive Solutions ◽  
Topological Degree ◽  
Eigenvalue Problems ◽  
Degree Theory ◽  
Topological Degree Theory ◽  
Nonlinear Elliptic ◽  
Elliptic Eigenvalue Problems ◽  
Infinite Sequences

AbstractIn this work, we employ minimization arguments and topological degree theory for mappings of type

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