Fractional weighted problems with a general nonlinearity or with concave-convex nonlinearities

Author(s)
Appolloni, Luigi
Date Issued
2021
Type
article
Volume
44
Issue
14
Start Page
11571
End Page
11590
DOI
Journal
Abstract
We consider nonlocal problems in which the leading operator contains a sign-changing weight which can be unbounded. We begin studying the existence and the properties of the first eigenvalue. Then we study a nonlinear problem in which the nonlinearity does not satisfy the usual Ambrosetti-Rabinowitz condition. Finally, we study a problem with general concave-convex nonlinearities.
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