scholarly journals The Liouville theorems for elliptic equations with nonstandard growth

2015 ◽  
Vol 14 (6) ◽  
pp. 2377-2392 ◽  
Author(s):  
Tomasz Adamowicz ◽  
Przemysław Górka
Keyword(s):  
Elliptic Equations ◽  
Liouville Theorems ◽  
Nonstandard Growth

Liouville theorems for a class of fourth order elliptic equations

1980 ◽  
Vol 86 (1-2) ◽  
pp. 129-137 ◽  
Author(s):  
Vinod B. Goyal ◽  
Philip W. Schaefer
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Entire Solutions ◽  
Liouville Type ◽  
Liouville Theorems ◽  
Liouville Type Theorems ◽  
Solutions Of Equations ◽  
Fourth Order Elliptic Equations

SynopsisLiouville type theorems are obtained for bounded entire solutions of equations of the form Δ2u − q(x)Δu + p(x)u = 0 by means of subharmonic functionals and Green type inequalities.

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