Topological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearity
DOI:
https://doi.org/10.58997/ejde.2022.60Keywords:
Monotonicity methods; singular problems; regularity; fractional p-laplacian operatorAbstract
We establish the existence of connected components of positive solutions for the equation \( (-\Delta_p)^s u = \lambda f(u)\), under Dirichlet boundary conditions, where the domain is a bounded in \(\mathbb{R}^N\) and has smooth boundary, \((-\Delta_p)^s\) is the fractional p-Laplacian operator, and \(f:(0,\infty) \to \mathbb{R}\) is a continuous function which may blow up to \(\pm \infty\) at the origin.
For more information see https://ejde.math.txstate.edu/Volumes/2022/60/abstr.html
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Copyright (c) 2022 Marcos Roberto Marcial, Olimpio H. Miyagaki, Gilberto A. Pereira
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