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Existence and uniqueness results for semi-linear Dirichlet problems in annuli

✍ Scribed by C. V. Coffman; M. Marcus

Publisher
Springer
Year
1989
Tongue
English
Weight
640 KB
Volume
108
Category
Article
ISSN
0003-9527

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## Abstract Two results on the existence and uniqueness for the __p__(__x__)‐Laplacian‐Dirichlet problem βˆ’__div__(|βˆ‡__u__|^__p__(__x__) βˆ’ 2^βˆ‡__u__) = __f__(__x__, __u__) in Ξ©, __u__ = 0 on βˆ‚Ξ©, are obtained. The first one deals with the case that __f__(__x__, __u__) is nonincreasing in __u__. The se