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A note on discontinuous problem with a free boundary

✍ Scribed by Sabri Bensid; Sidi Mohammed Bouguima

Book ID: 113734127
Publisher: Elsevier
Year: 2011
Weight: 299 KB
Volume: 19
Category: Article
ISSN: 1110-256X
DOI: 10.1016/j.joems.2011.09.002

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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