On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus

1992 ◽  
Vol 23 (1-2) ◽  
pp. 1-20 ◽  
Author(s):  
Jürgen Moser ◽  
Michael Struwe
Keyword(s):  
Differential Equations ◽  
Type Theorem ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Nonlinear Elliptic ◽  
Elliptic Differential Equations ◽  
Linear And Nonlinear

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

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