Fourth-order elliptic problems involving concave-superlinear nonlinearities
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Published:2022-12-11
Issue:
Volume:
Page:1-20
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Cavalcante Thiago R.ORCID,
Silva Edcarlos D.ORCID
Abstract
The existence of solutions for a huge class of superlinear elliptic problems involving fourth-order elliptic problems defined on bounded domains
under Navier boundary conditions is established. To this end we do not apply the well-known
Ambrosetti-Rabinowitz condition. Instead, we assume that the nonlinear term
is nonquadratic at infinity. Furthermore, the nonlinear term is a concave-superlinear function which can be indefinite in sign.
In order to apply variational methods we employ some delicate arguments recovering some kind of compactness.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
Subject
Applied Mathematics,Analysis
Cited by
1 articles.
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