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Uniqueness of a positive solution to the Dirichlet problem for a quasilinear equation withp-laplacian in a ball

✍ Scribed by E. I. Abduragimov

Book ID: 111503629
Publisher: Allerton Press, Inc.
Year: 2011
Tongue: English
Weight: 503 KB
Volume: 55
Category: Article
ISSN: 1066-369X
DOI: 10.3103/s1066369x1110001x

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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(|∇z| p-2 ∇z); p > 1, g(x, 0) = 0, for a.e. x ∈ , and g(x, u) is a Caratheodory function. We provide