Solutions for fourth order elliptic equations onRNinvolving uΔ(u2) and sign-changing potentials

2019 ◽  
Vol 267 (3) ◽  
pp. 1581-1599
Author(s):  
Shibo Liu ◽  
Zhihan Zhao
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Fourth Order Elliptic Equations

Liouville-type results for fourth order elliptic equations

1986 ◽  
Vol 103 (3-4) ◽  
pp. 209-213 ◽  
Author(s):  
Vinod B. Goyal
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Liouville Type ◽  
Liouville Type Theorems ◽  
Liouville Type Results ◽  
Fourth Order Elliptic Equations

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

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