On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions

Zhou, Qing-Mei: On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions. In: Electronic journal of qualitative theory of differential equations 17. pp. 1-12. (2019)

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Abstract

In this note, we deal with the existence of infinitely many solutions for a problem driven by nonlocal integro-differential operators with homogeneous Dirichlet boundary conditions −LKu = λ f(x, u), in Ω, u = 0, in Rn\Ω, where Ω is a smooth bounded domain of Rn and the nonlinear term f satisfies superlinear at infinity but does not satisfy the the Ambrosetti–Rabinowitz type condition. The aim is to determine the precise positive interval of λ for which the problem admits at least two nontrivial solutions by using abstract critical point results for an energy functional satisfying the Cerami condition.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 17
ISSN: 1417-3875
Page Range: pp. 1-12
DOI: https://doi.org/10.14232/ejqtde.2019.1.17
Uncontrolled Keywords: Integrodifferenciál-egyenlet
Additional Information: Bibliogr.: p. 10-12. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 05:56
Last Modified: 2019. May. 31. 05:56
URI: http://acta.bibl.u-szeged.hu/id/eprint/58100

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