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On a biharmonic problem in a circular ring
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Sergei Rogosin
Published/Copyright:
April 19, 2010
Abstract
Several problems of plane elasticity theory which can be reduced to different biharmonic boundary value problems are described, and the concept of biharmonic Green functions is discussed.
The explicit formula for the particular biharmonic Green function in a circular ring
R = {z ∈ C: 0<r<|z|<1}
is presented and applied to the solution of the Dirichlet boundary value problem for the bi-Poisson equation
(∂z∂z¯)2w=f in R, w=γ0, ;∂z∂z¯w=γ1 on ∂R,
for given f∈Lp(R;C), p>2, γ0, γ1∈C(∂R;C).
Published Online: 2010-04-19
Published in Print: 2010-02
© by Oldenbourg Wissenschaftsverlag, München, Germany
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- Irrationality of certain infinite series
- Partial fractional differential equations and some of their applications
- A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach
- On a biharmonic problem in a circular ring
Keywords for this article
biharmonic problem;
elasticity theory;
thin plate;
bending;
harmonic Green function
Articles in the same Issue
- Heinrich Begehr: Citation for his 70th birthday
- Irrationality of certain infinite series
- Partial fractional differential equations and some of their applications
- A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach
- On a biharmonic problem in a circular ring
