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Article Dans Une Revue Bulletin of Mathematical Sciences Année : 2022

Multiplicity for a strongly singular quasilinear problem via bifurcation theory

Résumé

A [Formula: see text]-Laplacian elliptic problem in the presence of both strongly singular and [Formula: see text]-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 [Formula: see text]-direction and bifurcates from infinity at [Formula: see text]. As consequence of the bifurcation result, we determine intervals of existence, nonexistence and in particular cases, global multiplicity.

Dates et versions

hal-03859225 , version 1 (18-11-2022)

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Jacques Giacomoni, Lais Moreira dos Santos, Carlos Alberto Santos. Multiplicity for a strongly singular quasilinear problem via bifurcation theory. Bulletin of Mathematical Sciences, 2022, ⟨10.1142/S1664360722500138⟩. ⟨hal-03859225⟩
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