scholarly journals Multiple solutions for a fourth-order nonlinear elliptic problem

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Ruichang Pei
Keyword(s):  
Fourth Order ◽  
Elliptic Problem ◽  
Multiple Solutions ◽  
Nonlinear Elliptic Problem ◽  
Nonlinear Elliptic

A Multiplicity Result Including Sign-Changing Solutions For a Nonlinear Elliptic Problem in RN

2007 ◽  
Vol 7 (4) ◽  
Author(s):  
Norimichi Hirano ◽  
Naoki Shioji
Keyword(s):  
Elliptic Problem ◽  
Multiple Solutions ◽  
Multiplicity Result ◽  
Nonlinear Elliptic Problem ◽  
Nonlinear Elliptic ◽  
Sign Changing Solutions

AbstractWe show that the problemhas multiple solutions including sign-changing ones, where μ > 0, N ≥ 3, 1 < p < (N + 2)/(N − 2) and Q : ℝ

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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