Existence and nonexistence results for a 2n-th order p-Laplacian discrete Dirichlet boundary value problem

2014 ◽  
Vol 49 (6) ◽  
pp. 287-295
Author(s):  
X. Liu ◽  
Y. Zhang ◽  
H. Shi
Keyword(s):  
Boundary Value Problem ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Dirichlet Boundary Value Problem ◽  
Existence And Nonexistence

scholarly journals On singularly weighted generalized Laplacian systems and their applications

2018 ◽  
Vol 7 (2) ◽  
pp. 149-165 ◽  
Author(s):  
Xianghui Xu ◽  
Yong-Hoon Lee
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Dirichlet Boundary Value Problem ◽  
Asymptotic Behaviors ◽  
Singular Weight ◽  
Existence And Nonexistence ◽  
Generalized Laplacian

AbstractWe study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system with the finite asymptotic behaviors of the nonlinearities at 0 and {\infty} are obtained.

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