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
Perturbation in a Free Boundary Problem
β Scribed by A. Boucherif; M. Bouguima
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 195 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let Ξ©~__i__~ β β^__N__^, __i__ = 0, 1, be two bounded separately starβshaped domains such that \documentclass{article}\pagestyle{empty}\begin{document}$ \Omega \_0 \supset \bar \Omega \_1 $\end{document}. We consider the electrostatic potential __u__ defined in \documentclass{article}\p
We prove the existence of a solution of a free boundary problem for the transonic small-disturbance equation. The free boundary is the position of a transonic shock dividing two regions of smooth flow. Assuming inviscid, irrotational flow, as modeled by the transonic small-disturbance equation, the
## 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.