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arXiv:2004.02576 [math.AP]AbstractReferencesReviewsResources

Critical concave convex Ambrosetti-Prodi type problem for fractional $p$-Laplacian

Hamilton Bueno, Eduardo Huerto Caqui, Olimpio Miyagaki, Fábio Pereira

Published 2020-04-06Version 1

In this paper we consider a class of critical concave convex Ambrosetti-Prodi type problems for the fractional $p$-Laplacian operator. By applying the Linking Theorem and the Mountain Pass Theorem as well, the interaction of the nonlinearities with the first eigenvalue of fractional $p$-Laplacian will be used to prove existence and multiplicity of solutions.

Comments: 25 pages
Categories: math.AP
Subjects: 35A15, 35R11, 35J60, 35J62, 35B33
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