scholarly journals Existence of positive solutions for quasilinear elliptic equation on Riemannian manifolds

2010 ◽  
pp. 569-574
Author(s):  
Wenjing Chen ◽  
Jianfu Yang
Keyword(s):  
Elliptic Equation ◽  
Positive Solutions ◽  
Riemannian Manifolds ◽  
Quasilinear Elliptic Equation ◽  
Existence Of Positive Solutions ◽  
Quasilinear Elliptic

scholarly journals Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators

2004 ◽  
Vol 2004 (46) ◽  
pp. 2453-2472
Author(s):  
Abdallah El Hamidi
Keyword(s):  
Elliptic Equation ◽  
Positive Solutions ◽  
Riemannian Manifolds ◽  
Multiple Solutions ◽  
Nonlinear Elliptic Equation ◽  
Existence Results ◽  
Real Parameter ◽  
Nonlinear Elliptic ◽  
Existence Of Positive Solutions ◽  
Characteristic Values

This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave-convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of positive solutions are highlighted.

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