Mixed boundary value problems of potential theory are of importance in a diversity of applications. Generally they can best be solved by reduction to a Riemann-Hilbert problem, but this involves certain arbitrary constants. This paper interprets these constants in terms of dipoles.
On two free boundary problems in potential theory
โ Scribed by L.E. Payne; G.A. Philippin
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 437 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
New conditions are suggested for the existence of solutions of two-point boundaryvalue problems. The situation is studied when monotone bounds of nonlinear terms do not guarantee the solvability of the problems. The approach developed is a combination of variational methods, simple fixed point princ
This paper considers a discontinuous semilinear elliptic problem: where H is the Heaviside function, p a real parameter and R the unit ball in R2. We deal with the existence of solutions under suitable conditions on g, h, and p. It is shown that the free boundary, i.e. the set where u = p, is suffi