scholarly journals Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket

2012 ◽  
Vol 18 (4) ◽  
pp. 941-953 ◽  
Author(s):  
Gabriele Bonanno ◽  
Giovanni Molica Bisci ◽  
Vicenţiu Rădulescu
Keyword(s):  
Elliptic Problem ◽  
Variational Analysis ◽  
Sierpinski Gasket ◽  
Nonlinear Elliptic Problem ◽  
Sierpiński Gasket ◽  
Nonlinear Elliptic

scholarly journals On the Existence of Nodal Solutions for a Nonlinear Elliptic Problem on Symmetric Riemannian Manifolds

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Anna Maria Micheletti ◽  
Angela Pistoia
Keyword(s):  
Riemannian Manifold ◽  
Riemannian Manifolds ◽  
Elliptic Problem ◽  
Multiplicity Result ◽  
Nonlinear Elliptic Problem ◽  
Nodal Solutions ◽  
Nonlinear Elliptic ◽  
Sign Changing Solutions

Given thatis a smooth compact and symmetric Riemannian -manifold, , we prove a multiplicity result for antisymmetric sign changing solutions of the problem in . Here if and if .

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