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
On a free boundary problem
β Scribed by Sabri Bensid; S.M. Bouguima
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 324 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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The author assumes that this is the very same problem which was solved in (1). The difference between the two results in the vicinity of the boundary should be noticed.