Existence and multiplicity of nontrivial solutions for a class of modified nonlinear fourth-order elliptic equations on RN

2014 ◽  
Vol 248 ◽  
pp. 593-601 ◽  
Author(s):  
Shaoxiong Chen ◽  
Jiu Liu ◽  
Xian Wu
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Nontrivial Solutions ◽  
Existence And Multiplicity ◽  
Fourth Order Elliptic Equations

scholarly journals Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Chun Li ◽  
Zeng-Qi Ou ◽  
Chun-Lei Tang
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Linking Theorem ◽  
Nontrivial Solutions ◽  
Fountain Theorem ◽  
Multiplicity Results ◽  
Local Linking ◽  
Existence And Multiplicity ◽  
Fourth Order Elliptic Equations

Using the Fountain theorem and a version of the Local Linking theorem, we obtain some existence and multiplicity results for a class of fourth-order elliptic equations.

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