International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 11, Pages 749-751
doi:10.1155/S0161171200004877
Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn
Mohammad Mujalli Al-Mahameed
Department of Mathematics, Irbid National University, P.O. Box 2600, Irbid, Jordan
Abstract
We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.