Some maximum principles for solutions of a class of partial differential equations in
Ω⊂ℝn
Mohammad Mujalli Al-Mahameed1
Received23 Mar 2000
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.