Topological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearity
| dc.contributor.author | Marcial, Marcos Roberto | |
| dc.contributor.author | Miyagaki, Olimpio H. | |
| dc.contributor.author | Pereira, Gilberto A. | |
| dc.date.accessioned | 2023-04-25T18:23:34Z | |
| dc.date.available | 2023-04-25T18:23:34Z | |
| dc.date.issued | 2022-08-11 | |
| dc.description.abstract | We establish the existence of connected components of positive solutions for the equation (-∆p)s u = λƒ(u), under Dirichlet boundary conditions, where the domain is a bounded in ℝN and has smooth boundary, (-∆p)s is the fractional p-Laplacian operator, and ƒ : (0,∞) → ℝ is a continuous function which may blow up to ±∞ at the origin. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Marcial, M. R., Miyagaki, O. H., & Pereira, G. A. (2022). Topological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearity. <i>Electronic Journal of Differential Equations, 2022</i>(60), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16650 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Monotonicity methods | |
| dc.subject | Singular problems | |
| dc.subject | Regularity | |
| dc.subject | Fractional p-laplacian operator | |
| dc.title | Topological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearity | |
| dc.type | Article |