Vol. 41, No. 3, 1972

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The class of (p, q)-biharmonic functions

Leo Sario and Cecilia Wang

Vol. 41 (1972), No. 3, 799–808
Abstract

Our main interest in this paper is with the (p,q)-biharmonic boundary value problem, which takes the following form: Given continuous functions ϕ and Ψ on Wiener’s or Royden’s p-and q-harmonic boundaries α and β respectively, find a function u satisfying (Δ + q)(Δ + p)u = 0 and

u|α = φ,u|β = Ψ.

We shall solve this problem by what we call the (p,q)-biharmonic projection.

Mathematical Subject Classification 2000
Primary: 53C20
Secondary: 31B30
Milestones
Received: 29 March 1971
Published: 1 June 1972
Authors
Leo Sario
Cecilia Wang