Topological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearity
Date
2022-08-11
Authors
Marcial, Marcos Roberto
Miyagaki, Olimpio H.
Pereira, Gilberto A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Monotonicity methods, Singular problems, Regularity, Fractional p-laplacian operator
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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.