تقرير
Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum
| العنوان: | Multiplicity results for critical fractional Ambrosetti-Prodi type system with nonlinearities interacting with the spectrum |
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| المؤلفون: | Caqui, Eduardo. H., Lima, Sandra M. de S., Pereira, Fábio R. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 35B06, 35B09, 35J15, 35J20 |
| الوصف: | 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) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.04298 |
| رقم الأكسشن: | edsarx.2405.04298 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |