Integral representations of solutions to a class of fourth order elliptic equations in three independent variables

DOI10.1112/S0025579300005556zbMath0229.35014OpenAlexW2044965387MaRDI QIDQ5637275

David Colton

Publication date: 1971

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300005556

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Higher-order elliptic equations (35J30)

Cites Work

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• Integral operators and complete families of solutions for \(\Delta^ 2_{p+2}u(x) + A(r^ 2)\Delta_{p+2}u(x) + B(r^ 2)u(x) = 0\)
• Integral Operators in the Theory of Linear Partial Differential Equations
• Approximation by Solutions of Partial Differential Equations
• The Construction of Solutions for Boundary Value Problems by Function Theoretic Methods
• Bergman operators for elliptic equations in three independent variables