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On a free boundary problem for minimal surfaces

โœ Scribed by M. Struwe


Publisher
Springer-Verlag
Year
1984
Tongue
English
Weight
621 KB
Volume
75
Category
Article
ISSN
0020-9910

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On a Free Boundary Problem
โœ Abdelkader Boucherif; Sidi Mohammed Bouguima ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 376 KB ๐Ÿ‘ 1 views

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