Zhou Qing-Mei: On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions. (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: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 17 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-12 |
| DOI: | 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: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58100 |
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