Entire Sign-Changing Solutions to the Fractional Critical Schrödinger Equation

Author(s)

,
,
&

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

Keywords:

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

Abstract View

  • 17480

Pdf View

  • 1302

DOI

10.4208/aam.OA-2024-0006