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
✦ LIBER ✦
On a free boundary problem in ground freezing
✍ Scribed by Grzegorz Łukaszewicz; Witold Sadowski
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 117 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Communicated by A. Piskorek
We consider a boundary value problem describing the stationary #ow of a non-Newtonian #uid through the frozen ground, with a free interface between the liquid and the solid phases. We prove the existence of at least one weak solution of the problem.
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