scholarly journals Bifurcation diagrams of positive solutions for one-dimensional Minkowski-curvature problem and its applications

2019 ◽  
Vol 39 (6) ◽  
pp. 3443-3462
Author(s):  
Shao-Yuan Huang ◽  
Keyword(s):  
Positive Solutions ◽  
Bifurcation Diagrams ◽  
One Dimensional ◽  
Curvature Problem

MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM

2007 ◽  
Vol 09 (05) ◽  
pp. 701-730 ◽  
Author(s):  
PATRICK HABETS ◽  
PIERPAOLO OMARI
Keyword(s):  
Positive Solutions ◽  
Solution Method ◽  
Careful Analysis ◽  
Lower Solution ◽  
Multiple Positive Solutions ◽  
One Dimensional ◽  
Existence And Multiplicity ◽  
The One ◽  
Multiplicity Of Positive Solutions ◽  
Curvature Problem

We discuss existence, non-existence and multiplicity of positive solutions of the Dirichlet problem for the one-dimensional prescribed curvature equation [Formula: see text] in connection with the changes of concavity of the function f. The proofs are based on an upper and lower solution method, we specifically develop for this problem, combined with a careful analysis of the time-map associated with some related autonomous equations.

scholarly journals On positive solutions to equations involving the one-dimensional p-Laplacian

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Ruyun Ma ◽  
Yanqiong Lu ◽  
Ahmed Omer Mohammed Abubaker
Keyword(s):  
Positive Solutions ◽  
Solutions To Equations ◽  
One Dimensional ◽  
The One

Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain

2004 ◽  
Vol 4 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Patrick Habets ◽  
Pierpaolo Omari
Keyword(s):  
Positive Solutions ◽  
Mean Curvature ◽  
General Domain ◽  
Prescribed Mean Curvature ◽  
Existence Of Positive Solutions ◽  
Curvature Problem

AbstractThe existence of positive solutions is proved for the prescribed mean curvature problemwhere Ω ⊂ℝ

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