A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space

2015 ◽  
Vol 15 (1) ◽  
Author(s):  
Zhao Liu ◽  
Wei Dai
Keyword(s):  
Boundary Conditions ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Dirichlet Boundary ◽  
Type Theorem ◽  
Dirichlet Boundary Conditions ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Harmonic System

AbstractIn this paper, we consider the following poly-harmonic system with Dirichlet boundary conditions in a half space ℝwherewhereis the Green’s function in ℝ

scholarly journals Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions

2019 ◽  
Vol 39 (3) ◽  
pp. 1205-1235
Author(s):  
Nicola Abatangelo ◽  
◽  
Serena Dipierro ◽  
Mouhamed Moustapha Fall ◽  
Sven Jarohs ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions

Liouville type theorem for higher order Hénon equations on a half space

2019 ◽  
Vol 183 ◽  
pp. 284-302 ◽  
Author(s):  
Wei Dai ◽  
Guolin Qin ◽  
Yang Zhang
Keyword(s):  
Half Space ◽  
Type Theorem ◽  
Higher Order ◽  
Liouville Type ◽  
Liouville Type Theorem
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