On the Neumann-Kelvin Problem in Bounded Domains
β Scribed by C.D. Pagani; D. Pierotti
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 620 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The -Neumann operator on (0, q)-forms (1 q n) on a bounded convex domain 0 in C n is compact if and only if the boundary of 0 contains no complex analytic (equivalently: affine) variety of dimension greater than or equal to q.
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.
We obtain here some inequalities for the eigenvalues of Dirichlet and Neumann value problems for general classes of operators (or system of operators) acting in 1997 Academic Press The constant on the right hand side of (1.2) cannot be improved because it coincides with the asymptotical constant f