scholarly journals On the Mountain Pass Solutions to Boundary Value Problems on the Sierpinski Gasket

2019 ◽  
Vol 74 (4) ◽  
Author(s):  
Marek Galewski
2014 ◽  
Vol 58 (2) ◽  
pp. 497-519 ◽  
Author(s):  
Zijian Guo ◽  
Rachel Kogan ◽  
Hua Qiu ◽  
Robert S. Strichartz

10.4171/jfg/1 ◽  
2014 ◽  
Vol 1 (1) ◽  
pp. 1-43 ◽  
Author(s):  
Weilin Li ◽  
Robert Strichartz

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Qinqin Zhang

We consider the boundary value problem for a fourth order nonlinearp-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.


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