Mountain pass and linking type sign-changing solutions for nonlinear problems involving the fractional Laplacian

Mountain pass and linking type sign-changing solutions for nonlinear problems involving the fractional Laplacian

Abstract In this paper we study the existence of sign-changing solutions for nonlinear problems involving the fractional Laplacian 0.1 { ( − Δ ) s u − λ u = f ( x , u ) , x ∈ Ω , u = 0 , x ∈ R n ∖ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} (-\Delta)^{s}u-\lambda u=f(x,u),&x\in\Omega, \\...

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Bibliographic Details
Main Authors: Huxiao Luo, Xianhua Tang, Shengjun Li
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Boundary Value Problems
Subjects:
fractional Laplacian
sign-changing solutions
mountain pass and linking type
invariant sets of descending flow
Online Access:http://link.springer.com/article/10.1186/s13661-017-0838-1

Internet

http://link.springer.com/article/10.1186/s13661-017-0838-1

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