Infinitely many sign-changing solutions for Kirchhoff-type equations with power nonlinearity
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Date
2016-02-29
Authors
Yao, Xianzhong
Mu, Chunlai
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we consider the Kirchhoff-type elliptic problem
-(α + b ∫Ω |∇u|2dx) ∆u = |u|p-2u, in Ω,
u = 0, on ∂Ω,
where Ω ⊂ ℝN and p ∈ (2, 2*) with 2* = 2N/N-2 if N ≥ 3, and 2* = +∞ otherwise. We show that the problem possesses infinitely many sign-changing solutions by using combination of invariant sets of descent flow and the Ljusternik-Schnirelman type minimax method.
Description
Keywords
Kirchhoff-type, Sign-changing solutions, Invariant sets of descent flow
Citation
Yao, X., & Mu, C. (2016). Infinitely many sign-changing solutions for Kirchhoff-type equations with power nonlinearity. Electronic Journal of Differential Equations, 2016(59), pp. 1-7.
Rights
Attribution 4.0 International