Fractional weighted problems with a general nonlinearity or with concave‐convex nonlinearities | Zendy

Appolloni Luigi | Zendy; Mugnai Dimitri | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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

Author(s) -

Appolloni Luigi,

Mugnai Dimitri

Publication year - 2021

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.7515

Subject(s) - mathematics , eigenvalues and eigenvectors , nonlinear system , regular polygon , operator (biology) , concave function , sign (mathematics) , mathematical analysis , geometry , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research