Liouville theorem of D-solutions to the stationary magnetohydrodynamics system in a slab

2021 ◽  
Vol 62 (7) ◽  
pp. 071503
Author(s):  
Xinghong Pan
Keyword(s):  
Liouville Theorem ◽  
Magnetohydrodynamics System

THE LIOUVILLE THEOREM INVOLVING QUANTUM EFFECT

1986 ◽  
Vol 6 (2) ◽  
pp. 201-211 ◽  
Author(s):  
Keda Bao ◽  
Fusui Liu
Keyword(s):  
Liouville Theorem ◽  
Quantum Effect

A Liouville theorem for the Stokes system in a half-space

2013 ◽  
Vol 195 (1) ◽  
pp. 13-19 ◽  
Author(s):  
H. Jia ◽  
G. Seregin ◽  
V. Sverak
Keyword(s):  
Half Space ◽  
Stokes System ◽  
Liouville Theorem

scholarly journals Gradient estimates for semilinear elliptic systems and other related results

2015 ◽  
Vol 145 (6) ◽  
pp. 1313-1330 ◽  
Author(s):  
Panayotis Smyrnelis
Keyword(s):  
Liouville Theorem ◽  
Elliptic Systems ◽  
Gradient Estimates ◽  
Alternative Form ◽  
Strong Monotonicity ◽  
Energy Tensor ◽  
Planar Domains ◽  
Stress Energy ◽  
General Phase ◽  
Double Well Potential

A periodic connection is constructed for a double well potential defined in the plane. This solution violates Modica's estimate as well as the corresponding Liouville theorem for general phase transition potentials. Gradient estimates are also established for several kinds of elliptic systems. They allow us to prove the Liouville theorem in some particular cases. Finally, we give an alternative form of the stress–energy tensor for solutions defined in planar domains. As an application, we deduce a (strong) monotonicity formula.

scholarly journals A Liouville theorem on complete non-Kähler manifolds

2018 ◽  
Vol 55 (4) ◽  
pp. 623-629
Author(s):  
Yuang Li ◽  
Chuanjing Zhang ◽  
Xi Zhang
Keyword(s):  
Liouville Theorem ◽  
Kähler Manifolds ◽  
Kahler Manifolds
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