Solution, Gradient, and Laplacian Bounds in Some Nonlinear Fourth Order Elliptic Equations

1987 ◽  
Vol 18 (2) ◽  
pp. 430-434 ◽  
Author(s):  
Philip W. Schaefer
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Fourth Order Elliptic Equations ◽  
Solution Gradient

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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