A free boundary problem with nonlinear jump and kinetics on the free boundaries
โ Scribed by Chaocheng Huang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 179 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
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
## Abstract In this paper we study some overdetermined boundary value problems for three classes of fully nonlinear elliptic equations. In each case we prove that the solution exists if and only if the underlying domain is the interior of an ellipsoid (or ellipse in two dimensions). The proofs make