On the dimension of the kernel of the Dirichlet problem for fourth-order equations

DOI10.1134/S0012266115040059zbMath1322.35018MaRDI QIDQ2515252

E. A. Buryachenko

Publication date: 31 July 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

fourth-order elliptic equationsconstant complex coefficientskernel of the Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40)

Related Items (5)

Monogenic functions with values in algebras of the second rank over the complex field and a generalized biharmonic equation with a triple characteristic ⋮ Neumann problem in a disk for fourth-order improperly elliptic equations ⋮ Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney-Luke integro-differential equation with degenerate kernel ⋮ Inverse boundary-value problem for an integro-differential Boussinesq-type equation with degenerate kernel ⋮ Monogenic functions with values in commutative algebras of the second rank with unit and the generalized biharmonic equation with double characteristic

Cites Work

• Dirichlet problem for a properly elliptic equation in a unit disk
• On the first and second boundary value problems for elliptic systems on the plane
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