Infinitely many sign-changing solutions for Kirchhoff-type equations with power nonlinearity

Date

2016-02-29

Authors

Yao, Xianzhong
Mu, Chunlai

Journal Title

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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. <i>Electronic Journal of Differential Equations, 2016</i>(59), pp. 1-7.

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Attribution 4.0 International

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