Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight
نویسندگان
چکیده
منابع مشابه
Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight
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We consider the system ⎧ ⎨ ⎩ −Δ p u = λF (x, u, v), x ∈ Ω, −Δ q v = λH(x, u, v), x ∈ Ω, u = 0 = v, x ∈ ∂Ω, where F (x, u, v) = [g(x)a(u) + f (v)], H(x, u, v) = [g(x)b(v) + h(u)], Ω is a bounded domain in R N (N ≥ 1) with smooth boundary ∂Ω, λ is a real positive parameter and Δ s z = div (|∇z| s−2 ∇z), s > 1, (s = p, q) is a s-laplacian operator. Here g is a C 1 sign-changing function that may b...
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2013
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476933.2013.791686