On generation of solutions of the biharmonic equation in the plane by conformal mappings
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Publication:2650888
DOI10.2140/pjm.1953.3.417zbMath0050.32306OpenAlexW2046557222MaRDI QIDQ2650888
Publication date: 1953
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.pjm/1103051402
General theory of conformal mappings (30C35) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Green's functions for elliptic equations (35J08)
Related Items (11)
Unnamed Item ⋮ A computation of Green functions for the weighted biharmonic operators \(\Delta| z| ^{-2\alpha}\Delta\), with \(\alpha > -1\) ⋮ The Green function for the weighted biharmonic operator \(\Delta(1-| z|^2)^{-\alpha}\Delta\), and factorization of analytic functions ⋮ Nonlinear questions in clamped plate models ⋮ On the structure of biharmonic functions satisfying the clamped plate conditions on a right angle ⋮ A clamped plate with a uniform weight may change sign ⋮ Positivity for Perturbations of Polyharmonic Operators with Dirichlet Boundary Conditions in Two Dimensions ⋮ A relation between biharmonic Green’s functions of simply supported and clamped bodies ⋮ Positivity properties of elliptic boundary value problems of higher order ⋮ Parabolic Riemannian planes carrying biharmonic Green's functions of the clamped plate ⋮ Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings
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