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Servadei, R. and Valdinoci, E. (2013) Variational Methods for Non-Local Operators of Elliptic Type. Discrete & Continuous Dynamical Systems: Series A, 33, 2105-2137.
https://doi.org/10.3934/dcds.2013.33.2105

has been cited by the following article:

• TITLE: A Least Energy Sign-Changing Solution for Nonlocal Schrödinger Equations with Asymptotically Linear Nonlinearities

  AUTHORS: Ni Li

  KEYWORDS: Nonlocal Schrödinger Equations, Least Energy Sign-Changing Solution, Integro-Differential Operator, Asymptotically Linear, Energy Doubling

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.6, June 12, 2025

  ABSTRACT: In this paper, we are concerned with the following nonlocal Schrödinger equations − ℒ K u+V( x )u=f( x,u ),  x∈ ℝ N , where − ℒ K is an integro-differential operator of fractional Laplacian type and V is coercive at infinity. Combining the Nehari manifold and the quantitative deformation lemma, a least energy sign-changing solution was obtained, and the energy doubling phenomenon was also found.