Existence and multiplicity of solutions for Schrödinger equations with sublinear nonlinearities

Existence and multiplicity of solutions for Schrödinger equations with sublinear nonlinearities

In the paper, we investigate a class of Schrödinger equations with sign-changing potentials V(x) and sublinear nonlinearities. We remove the coercive condition on V(x) usually required in the existing literature and also weaken the conditions on nonlinearities. By proving a Hardy-type inequality, ex...

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Bibliographic Details
Main Authors: Ye Xue, Zhiqing Han
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
schrödinger equation
sublinear nonlinearity
hardy-type inequality
variant fountain theorem
infinitely many solutions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021324?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021324?viewType=HTML

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