학술논문

Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum
Document Type
Working Paper
Source
Subject
Mathematics - Analysis of PDEs
Mathematics - Functional Analysis
35B06, 35B09, 35J15, 35J20
Language
Abstract
We investigated the existence of solutions for a class of Ambrosetti-Prodi type systems involving the fractional Laplacian operator and with nonlinearities reaching critical growth and interacting, in some sense, with the spectrum of the operator. The resonant case in $\lambda_{k,s}$ for $k>1$ is also investigated.
Comment: 33 pages. F. R. Pereira was supported partially by FAPEMIG/Brazil (RED-00133-21) and FAPEMIG/Brazil (CEX APQ 04528/22)