Existence and multiplicity of solutions for Schrödinger equations with sublinear nonlinearities

Autor: Ye Xue, Zhiqing Han
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 6, Pp 5479-5492 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021324?viewType=HTML
Popis: 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, extending the results in [1], and using it together with variational methods, we get at least one or infinitely many small energy solutions for the problem.
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