منابع مشابه
Continuous spectrum for a class of nonhomogeneous differential operators
We study the boundary value problem −div((|∇u|1 + |∇u|2)∇u) = λ|u|u in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in R with smooth boundary, λ is a positive real number, and the continuous functions p1, p2, and q satisfy 1 < p2(x) < q(x) < p1(x) < N and maxy∈Ω q(y) < Np2(x) N−p2(x) for any x ∈ Ω. The main result of this paper establishes the existence of two positive constants λ0 and λ1 with λ...
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Because the presentation of this material in class will differ from that in the book, I felt that notes that closely follow the class presentation might be appreciated.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1965
ISSN: 0026-2285
DOI: 10.1307/mmj/1028999315