A new method, based on the Kelvin transformation and the Fokas integral method, is employed for solving analytically a potential problem in a non-convex unbounded domain of R 2 , assuming the Neumann boundary condition. Taking advantage of the property of the Kelvin transformation to preserve harmon
A Neumann problem in exterior domain
β Scribed by Daomin Cao; Marcello Lucia; Huan-Song Zhou
- Book ID
- 105744322
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 83 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0025-2611
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π SIMILAR VOLUMES
The Neumann problem for the Laplace equation in an exterior connected plane region bounded by closed and open curves is studied. The existence of classical solution is proved by potential theory. The problem is reduced to the Fredholm equation of the second kind, which is uniquely solvable.
In this paper we investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent in exterior domains. It is assumed that the coe cient Q is a positive and smooth function on c and ΒΏ 0 is a parameter. We examine the common e ect of the mean curvature of the boundary 9 a