Entire Sign-Changing Solutions to the Fractional Critical Schrödinger Equation

Authors

  • Xingdong Tang
  • Guixiang Xu
  • Chunyan Zhang
  • Jihui Zhang

DOI:

https://doi.org/10.4208/aam.OA-2024-0006

Keywords:

Fractional critical Schrödinger equation, sign-changing solution, the concentration-compactness principle, the equivariant group action, the mountain pass theorem.

Abstract

In this paper, we consider the fractional critical Schrödinger equation (FCSE) $$(-\Delta)^su-|u|^{2^*_s-2}u=0,$$ where $u∈\dot{H}^s(\mathbb{R}^N),$ $N≥4,$ $0

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Published

2024-09-26

Issue

Vol. 40 No. 3 (2024)

Section

Articles