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Fractional weighted problems with a general nonlinearity or with concave-convex nonlinearities
  • Luigi Appolloni,
  • Dimitri Mugnai
Luigi Appolloni
Università degli Studi di Milano-Bicocca
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Dimitri Mugnai
University of Tuscia Department of Biological and Ecological Sciences
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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.

Peer review status:ACCEPTED

04 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
05 Sep 2020Submission Checks Completed
05 Sep 2020Assigned to Editor
18 Sep 2020Reviewer(s) Assigned
20 Jan 2021Review(s) Completed, Editorial Evaluation Pending
26 Jan 2021Editorial Decision: Revise Major
10 Feb 20211st Revision Received
10 Feb 2021Submission Checks Completed
10 Feb 2021Assigned to Editor
14 Feb 2021Reviewer(s) Assigned
24 Feb 2021Review(s) Completed, Editorial Evaluation Pending
20 Apr 2021Editorial Decision: Revise Minor
22 Apr 20212nd Revision Received
22 Apr 2021Submission Checks Completed
22 Apr 2021Assigned to Editor
22 Apr 2021Editorial Decision: Accept