Some maximum principles for solutions of a class of partial differential equations in Ω ⊂ ℝ n

Mohammad Mujalli Al-Mahameed

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-3

Abstract:

We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ 2 u + α f ( u ) = 0 , α ∈ ℝ + and (2) Δ Δ u + α ( Δ u ) k + g u = 0 , α ≤ 0 in some region Ω ⊂ ℝ n .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:103926

DOI: 10.1155/S0161171200004877

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