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- Title
Multiplicity for a strongly singular quasilinear problem via bifurcation theory.
- Authors
Giacomoni, Jacques; Moreira dos Santos, Lais; Alberto Santos, Carlos
- Abstract
A p-Laplacian elliptic problem in the presence of both strongly singular and (p - 1)-superlinear nonlinearities is considered. We employ bifurcation theory, approximation techniques and sub-supersolution method to establish the existence of an unbounded branch of positive solutions, which is bounded in positive λ-direction and bifurcates from infinity at λ = 0. As consequence of the bifurcation result, we determine intervals of existence, nonexistence and in particular cases, global multiplicity.
- Subjects
QUASILINEARIZATION; MATHEMATICS; MULTIPLICITY (Mathematics); BIFURCATION theory; APPROXIMATION theory
- Publication
Bulletin of Mathematical Sciences (World Scientific), 2023, Vol 13, Issue 1, p1
- ISSN
1664-3607
- Publication type
Article
- DOI
10.1142/S1664360722500138