A Neumann boundary value problem for a class of gradient systems
نویسندگان
چکیده
منابع مشابه
A Neumann Boundary Value Problem for a Class of Gradient Systems
In this paper, we study the Neumann boundary value problems: −(|u1(x)|1u1(x)) + |u1(x)|1u1(x) = λFu1(x, u1, . . . , um), x ∈ (a, b), −(|u2(x)|2u2(x)) + |u2(x)|2u2(x) = λFu2(x, u1, . . . , um), x ∈ (a, b), . . . −(|um(x)|mum(x)) + |um(x)|mum(x) = λFum(x, u1, . . . , um), x ∈ (a, b), ui(a) = u ′ i(b) = 0, (Pλ) where pi > 1 are constants, for 1 ≤ i ≤ m, λ is a positive parameter, F : [a...
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ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2014
ISSN: 1232-9274
DOI: 10.7494/opmath.2014.34.1.171