Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations

2010 ◽  
Vol 216 (12) ◽  
pp. 3772-3777 ◽  
Author(s):  
Raffaele Chiappinelli
Keyword(s):  
Lower Bounds ◽  
Elliptic Equations ◽  
Higher Order ◽  
Semilinear Elliptic Equations ◽  
Upper And Lower Bounds ◽  
Semilinear Elliptic

scholarly journals MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS

2010 ◽  
Vol 53 (2) ◽  
pp. 313-320 ◽  
Author(s):  
A. MARENO
Keyword(s):  
Elliptic Equations ◽  
Auxiliary Function ◽  
Higher Order ◽  
Semilinear Elliptic Equations ◽  
Maximum Principles ◽  
Eighth Order ◽  
Analyse Math ◽  
Semilinear Elliptic

AbstractWe deduce maximum principles for fourth-, sixth- and eighth-order elliptic equations by modifying an auxiliary function introduced by Payne (J. Analyse Math. 30 (1976), 421–433). Integral bounds on various gradients of the solutions of these equations are obtained.

Pointwise Lower Bounds for Solutions of Semilinear Elliptic Equations and Applications

2014 ◽  
Vol 14 (4) ◽  
Author(s):  
Asadollah Aghajani ◽  
Alireza Mosleh Tehrani ◽  
Nassif Ghoussoub
Keyword(s):  
Bounded Domain ◽  
Lower Bounds ◽  
Elliptic Problem ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Smooth Bounded Domain ◽  
Semilinear Elliptic Problem ◽  
Semilinear Elliptic

AbstractWe consider the semilinear elliptic problem −Δu = f (x, u), posed in a smooth bounded domain Ω of ℝ

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