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
A free boundary problem with optimal transportation
β Scribed by Ovidiu Savin
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 136 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0010-3640
- DOI
- 10.1002/cpa.3041
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The classic transportation problem can be generalized with many carriers and one owner. From the formulation the competition in sense of game theory naturally appears. Here we present and solve this problem using a generalized __n__βperson game. Besides the same composition properties a
Communicated by G
## 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