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Schröndiger Type and Relaxed Dirichlet Problems for the Subelliptic p-Laplacian

✍ Scribed by Marco Biroli


Book ID
110298461
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
101 KB
Volume
15
Category
Article
ISSN
0926-2601

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Existence and uniqueness for the p(x)-La
✍ Xianling Fan 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB

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