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TOPOLOGICAL STRUCTURE OF THE SOLUTION SET FOR A FRACTIONAL p-LAPLACIAN PROBLEM WITH SINGULAR NONLINEARITY

Author(s):
Marcial, Marcos R. ; Miyagaki, Olimpio H. ; Pereira, Gilberto A.
Total Authors: 3
Document type: Journal article
Source: Electronic Journal of Differential Equations; v. 2022, n. 60, p. 19-pg., 2022-08-11.
Abstract

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 R-N and has smooth boundary, (-Delta(p))(s) is the fractional p-Laplacian operator, and f : (0, infinity) -> R is a continuous function which may blow up to +/-infinity at the origin. (AU)

FAPESP's process: 19/24901-3 - Critical nonlocal quasilinear problem: existence, multiplicity and properties of the solutions
Grantee:Olimpio Hiroshi Miyagaki
Support Opportunities: Regular Research Grants