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Positive solutions for a Dirichlet problem

✍ Scribed by Zhou Huansong


Book ID
110618165
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2001
Tongue
English
Weight
449 KB
Volume
17
Category
Article
ISSN
0168-9673

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In this paper we prove the uniqueness of positive weak solutions to the problem Here is a bounded domain in R N (N 3) with smooth boundary j , p denotes the p-Laplacian operator defined by p z = div(|βˆ‡z| p-2 βˆ‡z); p > 1, g(x, 0) = 0, for a.e. x ∈ , and g(x, u) is a Caratheodory function. We provide