Topological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearity

Marcial, Marcos RobertoMiyagaki, Olimpio H.Pereira, Gilberto A.2023-04-252023-04-252022-08-11Marcial, 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. 1-19.1072-6691https://hdl.handle.net/10877/16650We 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.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalMonotonicity methodsSingular problemsRegularityFractional p-laplacian operatorTopological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearityArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.