Ground state sign-changing solutions for fractional Laplacian equations with critical nonlinearity

Ground state sign-changing solutions for fractional Laplacian equations with critical nonlinearity

In this paper, we investigate the existence of the least energy sign-changing solutions for nonlinear elliptic equations driven by nonlocal integro-differential operators with critical nonlinearity. By using constrained minimization method and topological degree theory, we obtain a least energy sign...

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Bibliographic Details
Main Authors: Mengyu Wang, Xinmin Qu, Huiqin Lu
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
fractional laplacian equation
sign-changing solution
ekeland's variational principle
brouwer's degree theory
variational methods
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021297?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021297?viewType=HTML

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